Questions on Word Problems: Geometry answered by real tutors!

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Question 1206177: You are 12.5 meters away from a 2-story residential building with an approximate height of 7 meters. At the same time, you are 21 meters away from the church, how high is the church? Provide an illustration and a Solution
Click here to see answer by math_tutor2020(3816) About Me 
Question 1206177: You are 12.5 meters away from a 2-story residential building with an approximate height of 7 meters. At the same time, you are 21 meters away from the church, how high is the church? Provide an illustration and a Solution
Click here to see answer by ikleyn(52780) About Me 

Question 1206176: You are a sailmaker creating a pattern for your customer. Your customer wants to have a triangular sail with two colors such as yellow and white. Your customer wants the yellow part to have sizes of the sides as 3 meters, 6 meters, and 21 meters. If the longest side of the sail would be 84 meters, how many meters of white cloth would you cut to complete the sail? Given: Upper side - 6 meters.
A. 90m
B. 100m
C. 101m
D. 102m
Provide an illustration and Solution

Click here to see answer by ikleyn(52780) About Me 

Question 1206312: A wire is first bent into the shape of a rectangle with width 9 in and length 12 in
. Then the wire is unbent and reshaped into a triangle. If each side of the triangle has equal length, what is this length?

Click here to see answer by MathLover1(20849) About Me 
Question 1206312: A wire is first bent into the shape of a rectangle with width 9 in and length 12 in
. Then the wire is unbent and reshaped into a triangle. If each side of the triangle has equal length, what is this length?

Click here to see answer by josgarithmetic(39617) About Me 
Question 1206312: A wire is first bent into the shape of a rectangle with width 9 in and length 12 in
. Then the wire is unbent and reshaped into a triangle. If each side of the triangle has equal length, what is this length?

Click here to see answer by ikleyn(52780) About Me 

Question 1206337: A light post casts a shadow that is 15 ft. long. Sarah is 5 ft. tall and is standing 4 ft. from
the light post. How tall is the light post?

Click here to see answer by math_tutor2020(3816) About Me 
Question 1206337: A light post casts a shadow that is 15 ft. long. Sarah is 5 ft. tall and is standing 4 ft. from
the light post. How tall is the light post?

Click here to see answer by ikleyn(52780) About Me 
Question 1206337: A light post casts a shadow that is 15 ft. long. Sarah is 5 ft. tall and is standing 4 ft. from
the light post. How tall is the light post?

Click here to see answer by MathTherapy(10552) About Me 

Question 1206357: The shape of a patio is a trapezoid with height 10 feet and bases 22 feet and 16 feet. What is the cost of outdoor carpeting to cover the patio if carpet costs $4.50 per square foot?

Click here to see answer by ikleyn(52780) About Me 
Question 1206357: The shape of a patio is a trapezoid with height 10 feet and bases 22 feet and 16 feet. What is the cost of outdoor carpeting to cover the patio if carpet costs $4.50 per square foot?

Click here to see answer by mananth(16946) About Me 

Question 1206407: A manufacturer wants to enlarge an existing manufacturing facility such that the total floor area is 1.5 times that of the current facility. The floor area of the current facility is rectangular and measures 200 feet (length) by 120 feet (width). The manufacturer wants to increase each dimension by the same amount.
(a) Write a function that represents the new floor area A. (Use x as the variable.)
A =

(b) Find the dimensions of the new floor. (Round your answers to two decimal places.)
ft (smaller value)
ft (larger value)
(c) Another alternative is to increase the current floor's length by an amount that is twice an increase in the floor's width. The total floor area is 1.5 times that of the current facility. Repeat parts (a) and (b) using these criteria.
Write a function that represents the new floor area A. (Use x as a variable.)
A =

Find the dimensions of the new floor. (Round your answers to two decimal places.)
ft (smaller value)
ft (larger value)

Click here to see answer by greenestamps(13200) About Me 

Question 1206499: Brett has a box that has edges 2.5 meters long. He plans to paint the outside of all sides, including top and bottom, of this box. Before buying the paint, he needs to know the area of the surface he plans to paint. What is the outside surface area of this box?
A.
6.25 m2
B.
31.25 m2
C.
62.50 m2
D.
37.50 m2





Click here to see answer by Theo(13342) About Me 

Question 1206671: Express the answer in exact form.
A regular hexagon with sides of 3" is inscribed in a circle. Find the area of a segment formed by a side of the hexagon and the circle.
(Hint: remember Corollary 1--the area of an equilateral triangle is 1/4 s2 √3.)


Click here to see answer by Boreal(15235) About Me 

Question 1206702: Haley is making a small garden in the shape of a right triangle. The garden will be framed using landscaping timbers. One side of the garden is 5 feet longer than the other and the longest side of the garden is twice as long as the short side. A hardware store exclusively sells landscaping timber in full 8-foot lengths for $32.88. Determine how much Haley will spend to build her garden and how much timber she will have left over for another project.
Click here to see answer by Theo(13342) About Me 

Question 1206869: A cookie baker has an automatic mixer that turns out a sheet of dough in the shape of a square 12 inches wide. His cookie cutter cuts 3-inch diameter circular cookies as shown at right. The supervisor complained that too much dough was being wasted and ordered the baker to find out what size cookie would have the least amount of waste.
~Analyze this situation and determine how much cookie dough is "wasted" when 3-inch cookies are cut. Then have each team member find the amount of dough wasted when a cookie of a different diameter is used. Compare your results.
~Write a note to the supervisor explaining your results. Justify your confusions

Click here to see answer by ikleyn(52780) About Me 

Question 1207174: In an isosceles triangle,the measure of one base angle is 15 degrees more than twice the measure of the vertex angle. Find the measures of all three angles
Click here to see answer by mananth(16946) About Me 
Question 1207174: In an isosceles triangle,the measure of one base angle is 15 degrees more than twice the measure of the vertex angle. Find the measures of all three angles
Click here to see answer by ikleyn(52780) About Me 

Question 1207175: A park has a triangular flower bed
Two angles of the flower bed measure 55 degrees and 70 degrees. Designers beed to know the measure of the missing angle to plant correctly.what is it?

Click here to see answer by ikleyn(52780) About Me 

Question 1207177: The Angles of a triangle are in a ratio of 2:3:5. find The measure of each angle( hint: remember the Angles in a triangle add up to 180 degrees)
Click here to see answer by ikleyn(52780) About Me 
Question 1207177: The Angles of a triangle are in a ratio of 2:3:5. find The measure of each angle( hint: remember the Angles in a triangle add up to 180 degrees)
Click here to see answer by MathLover1(20849) About Me 

Question 1207176: A flagpole casts a show that creates a right triangle with the ground. If the angle between the shadow and the flagpole is 22 degrees .what is the angle between the flagpole and the ground?
Click here to see answer by MathLover1(20849) About Me 

Question 1207377: In the figure, a person standing at point A notices that the angle of elevation to the top of the antenna is 45° 30'. A second person standing 39.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 44° 10'. How far is the person at A from the base of the antenna? (Round your answer to the nearest whole number.)
Click here to see answer by josgarithmetic(39617) About Me 
Question 1207377: In the figure, a person standing at point A notices that the angle of elevation to the top of the antenna is 45° 30'. A second person standing 39.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 44° 10'. How far is the person at A from the base of the antenna? (Round your answer to the nearest whole number.)
Click here to see answer by Theo(13342) About Me 
Question 1207377: In the figure, a person standing at point A notices that the angle of elevation to the top of the antenna is 45° 30'. A second person standing 39.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 44° 10'. How far is the person at A from the base of the antenna? (Round your answer to the nearest whole number.)
Click here to see answer by ikleyn(52780) About Me 

Question 1207411: Dimensions of a Window The area of a rectangular window is to be 306 square centimeters. If the length exceeds the width by 1 centimeter,what are the dimensions?

Let me see.


Area = 306


Length = x + 1

Width = x

My set up:

306 = x(x + 1)


Yes?

Click here to see answer by math_tutor2020(3816) About Me 
Question 1207411: Dimensions of a Window The area of a rectangular window is to be 306 square centimeters. If the length exceeds the width by 1 centimeter,what are the dimensions?

Let me see.


Area = 306


Length = x + 1

Width = x

My set up:

306 = x(x + 1)


Yes?

Click here to see answer by greenestamps(13200) About Me 

Question 1207436: Every time I come across this question it throws me into a loop.
The part about removing a foot from each corner is the confusing part to me.

An open box is to be constructed from a square piece of sheet metal by removing a square of side 1 foot from each corner and turning up the edges.If the box is to hold 4 cubic feet,what should be the dimensions of the sheet metal?

Click here to see answer by josgarithmetic(39617) About Me 
Question 1207436: Every time I come across this question it throws me into a loop.
The part about removing a foot from each corner is the confusing part to me.

An open box is to be constructed from a square piece of sheet metal by removing a square of side 1 foot from each corner and turning up the edges.If the box is to hold 4 cubic feet,what should be the dimensions of the sheet metal?

Click here to see answer by math_tutor2020(3816) About Me 
Question 1207436: Every time I come across this question it throws me into a loop.
The part about removing a foot from each corner is the confusing part to me.

An open box is to be constructed from a square piece of sheet metal by removing a square of side 1 foot from each corner and turning up the edges.If the box is to hold 4 cubic feet,what should be the dimensions of the sheet metal?

Click here to see answer by ikleyn(52780) About Me 

Question 1207439: A circular pool measures 10 feet across.One cubic yard of concrete is to be used to create a circular border of uniform width around thepool.If the border is to have a depth of 3 inches,how wide will the border be? (1 cubic yard 27 cubic feet).
I need the set up here.

Thanks.

Click here to see answer by math_tutor2020(3816) About Me 
Question 1207439: A circular pool measures 10 feet across.One cubic yard of concrete is to be used to create a circular border of uniform width around thepool.If the border is to have a depth of 3 inches,how wide will the border be? (1 cubic yard 27 cubic feet).
I need the set up here.

Thanks.

Click here to see answer by MathTherapy(10552) About Me 
Question 1207439: A circular pool measures 10 feet across.One cubic yard of concrete is to be used to create a circular border of uniform width around thepool.If the border is to have a depth of 3 inches,how wide will the border be? (1 cubic yard 27 cubic feet).
I need the set up here.

Thanks.

Click here to see answer by Theo(13342) About Me 
Question 1207439: A circular pool measures 10 feet across.One cubic yard of concrete is to be used to create a circular border of uniform width around thepool.If the border is to have a depth of 3 inches,how wide will the border be? (1 cubic yard 27 cubic feet).
I need the set up here.

Thanks.

Click here to see answer by ikleyn(52780) About Me 

Question 1207435: An adjustable water sprinkler that sprays water in a circular pattern is placed at the center of a square field whose area is 1250 square feet (see the figure). What is the shortest radius setting that can be used if the field is to be completely enclosed within the circle?

I need the set up equation.

Thanks.

Click here to see answer by josgarithmetic(39617) About Me 
Question 1207435: An adjustable water sprinkler that sprays water in a circular pattern is placed at the center of a square field whose area is 1250 square feet (see the figure). What is the shortest radius setting that can be used if the field is to be completely enclosed within the circle?

I need the set up equation.

Thanks.

Click here to see answer by ikleyn(52780) About Me 
Question 1207435: An adjustable water sprinkler that sprays water in a circular pattern is placed at the center of a square field whose area is 1250 square feet (see the figure). What is the shortest radius setting that can be used if the field is to be completely enclosed within the circle?

I need the set up equation.

Thanks.

Click here to see answer by math_tutor2020(3816) About Me 

Question 1207440: a. Draw 4 different rectangles, all of which have an area of 4 square inches. Label your rectangles with their lengths and widths.(Think about decimals and fractions)
b. Determine the permiters of each of your rectangles in part (a). Then label your rectangles A,B,C,and D in increasing order of their perimeters, so that A has the smallest perimeter and D has the largest permiter among your rectangles.
c. Qualitatively, how do the smallesr-perimeter rectangles that you drew in part (a)look different from the larger-perimeter rectangles? Describe how the shapes of the rectangles change as you go from the rectangle of the smallest perimeter to the rectangle of the largest perimeter.

Click here to see answer by Edwin McCravy(20055) About Me 

Question 1207448: Comparing TVs The screen size of a television is determined by the length of the diagonal of the rectangular screen.Traditional TVs come in a 4 :3 format,meaning the ratio of the length to the width of the rectangular screen is 4 to 3.What is the area of a 50-inch traditional TV screen? What is the area of a 50-inch LCD TV whose screen is in a 16 :9 format? Which screen is larger?

I tried this one for 30 minutes and got no where. Help....

Click here to see answer by ikleyn(52780) About Me 

Question 1207447: A contractor orders 8 cubic yards of premixed cement,all of which is to be used to pour a patio that will be 4 inches thick. If the length of the patio is specified to be twice the width, what will be the patio dimensions? (1 cubic yard 27 cubic feet)

Seeking the set up equation(s).

Click here to see answer by josgarithmetic(39617) About Me 
Question 1207447: A contractor orders 8 cubic yards of premixed cement,all of which is to be used to pour a patio that will be 4 inches thick. If the length of the patio is specified to be twice the width, what will be the patio dimensions? (1 cubic yard 27 cubic feet)

Seeking the set up equation(s).

Click here to see answer by ikleyn(52780) About Me 
Question 1207447: A contractor orders 8 cubic yards of premixed cement,all of which is to be used to pour a patio that will be 4 inches thick. If the length of the patio is specified to be twice the width, what will be the patio dimensions? (1 cubic yard 27 cubic feet)

Seeking the set up equation(s).

Click here to see answer by Theo(13342) About Me 

Question 1207446: Constructing a Border around a Pool A circular pool measures 10 feet across.One cubic yard of concrete is to be used to create a circular border of uniform width around thepool.If the border is to have a depth of 4 inches,how wide will the border be? (1 cubic yard 27 cubic feet) See the illustration.

I need help with the set up equation(s).

Click here to see answer by ikleyn(52780) About Me 

Question 1207474: You have 1000 feet of flexible pool siding and wish to construct a swimming pool. Experiment with rectangularshaped pools with perimeters of 1000 feet. How do their areas vary? What is the shape of the rectangle with the largest area? Now compute the area enclosed by a circular pool with a perimeter (circumference) of 1000 feet. What would be your choice of shape for the pool? If rectangular, what is your preference for dimensions? Justify your choice. If your only consideration is to have a pool that encloses the most area, what shape should you use?
Click here to see answer by Theo(13342) About Me 
Question 1207474: You have 1000 feet of flexible pool siding and wish to construct a swimming pool. Experiment with rectangularshaped pools with perimeters of 1000 feet. How do their areas vary? What is the shape of the rectangle with the largest area? Now compute the area enclosed by a circular pool with a perimeter (circumference) of 1000 feet. What would be your choice of shape for the pool? If rectangular, what is your preference for dimensions? Justify your choice. If your only consideration is to have a pool that encloses the most area, what shape should you use?
Click here to see answer by ikleyn(52780) About Me 

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