Questions on Word Problems: Geometry answered by real tutors!

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Question 319685: A building that is 150 ft tall casts a shadow of 20 feet long. At the same time a tree casts a shadow of 2 ft. How tall is the tree?
Click here to see answer by checkley77(12569)

Question 319663: A rectangular table has legs of unequal length. Two legs on one diagonal of the table measure 24 and 28 inches and a third leg measures 30 inches. What should the fourth leg measure so that the table can rest on a level floor without wobbling?
Click here to see answer by checkley77(12569)

Question 319498: My bicycle has a rear wheel whose diameter is 1.2 times as big as the diameter of
the front wheel. As I ride my bicycle, if the front wheel turns 120 times, how many times the rear wheel will turn?
Click here to see answer by Alan3354(30983)

Question 319738: The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70 yd , find its area.

Click here to see answer by mananth(12270)

Question 319781: A dog runs along a path near a square garden with side length 10 m . it runs once around always staying exactly 1 m from the edge of the garden . to the nearest meter , how far does the dog run ?
A) 40 m B) 44 m C) 46 m D) 48 m E) 50 m
Click here to see answer by mananth(12270)

Question 319759: Thomas has an enormous stamp collection. He has wallpapered one wall of his house with stamps that are square with sides that are one and one-quarter inches long. How many stamps were used to cover the wall, which is 10 feet tall and
25 feet long?
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Question 319800: Find the coordinates of the center of the circle and length of the radius given the equation of that circle which is
Click here to see answer by stanbon(57250)

Question 319800: Find the coordinates of the center of the circle and length of the radius given the equation of that circle which is
Click here to see answer by Edwin McCravy(8882)

Question 319797: What is the area of a triangle with lengths of sides of 20, 31 and 43?
Click here to see answer by nyc_function(2733)

Question 319932: What is the circumference of a circle if the area is ?
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Question 319932: What is the circumference of a circle if the area is ?
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Question 320077: A cube has edges that are 6 centimeters long. How many times greater is the volume of a cube with 9 centimeter sides?
Click here to see answer by mananth(12270)

Question 320099: A circle of diameter 10 circumscribed by a right-angled isosceles triangle.
Determine the perimeter of the triangle.
Click here to see answer by CharlesG2(828)

Question 320076: A circle is inscribed in a regular pentagon. The perimeter of the pentagon is 150 cm. Find the area of the circle.

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Question 320242: The second angle of a triangle is 3 times as large as the first. The third angle is 55° more than the first. Find the measure of the smallest angle.

Click here to see answer by checkley77(12569)

Question 320240: The height of a triangle is six feet less than twice the base. If the area is 70 squae feet. Find the base and the height
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Question 320271: A rectangular field is 100 meters long and 65 meters wide.
Give the length and width of another rectangular field that has the same perimeter but a larger area.
Click here to see answer by Alan3354(30983)

Question 320385: ind the base of triangle if area is 30 cm2 and height exceeds the base by 7cm
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Question 320432: jim raced his horse 3 times around a circular track with a adius of 18 meters. How many meters did they cover?
Click here to see answer by rfer(12647)

Question 320430: a rectangular building lot 80ft wide contains 3600 square ft. How many feet are in the perimeter of the lot?

Click here to see answer by rfer(12647)

Question 320506: Algebra
the perimeter of a square is 220 feeT? what is the length of each side?
2. A trapezoid has bases 11cm and 4 cm, and a height of 9 cm. What is the area?
3. A rectangular piece of cardboard has a length of 16 inches and an area of 192 square inches. What is the length of the cardboard?
Click here to see answer by checkley77(12569)

Question 320488: A right triangle has area of 6in2. If all the dimensions are multiplied by 4, what will the area of the new triangle be?
Click here to see answer by Fombitz(13828)

Question 320471: I decide to take up alpaca farming. I will build an alpaca pen next to my house. (Since it is next to my house, I don't need any fencing on the side where my house is. My house is huge, so I dont have to worry about that side being too short.) I have 800 feet of fencing. I am going to make a rectangular fence.
a. if I want the pen to have an area of 15,200 sq feet, what should the dimensions be?
b. I want to give my alpacas as much room as possible. What is the most area I can have in this rectangular pen, using my 800 feet of fencing?
Click here to see answer by checkley77(12569)

Question 320605: The length of a rectangular carpet is 5.5' greater than twice the width. The area is 90. Find the dimensions
Click here to see answer by mananth(12270)

Question 320677: Which of the following circles would show the locus of points in a plane 1 unit from the intersection of the lines x + y = 2 and x - y = 4?
a. center (4,2), radius = 1
b. center (3,-1), radius = 1
c. center (3,1), radius = 1
d. center (0,0), radius = 1
Click here to see answer by Fombitz(13828)

Question 320726: The area of the rectangle is 100 square cm. If a square built using a diagonal of this rectangle as one of its sides, the square has area 700 square cm. What is the perimeter of the rectangle?
Click here to see answer by mananth(12270)

Question 320779: The distance from Philadelphia to Sea Isle City is 100 mi. A car was driven this
distance using tires with a radius of 14 in. How many revolutions of each tire
occurred on the trip?
Click here to see answer by stanbon(57250)

Question 320790: When a hexagon has 2-inch sides, its area is about 10.4in2. What will be the approximate area of a hexagon whose sides are 10 inches long??
Click here to see answer by solver91311(16872)

Question 320802: Very confusing for me , need helping solving. Thank you.
Use the theoretical probability formula to solve the following problem.
Express the probability as a fraction reduced to lowest terms.
A 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Find the probability of rolling a 4.
The probability of rolling a 4 is ____
(integer or simplified fraction)
Click here to see answer by Fombitz(13828)

Question 320777: An A-frame cabin has a triangular front with a base of 30 ft and a
height of 20 ft. If the front is to be glass that costs $3 per square foot, what will the
glass cost?
Click here to see answer by checkley77(12569)

Question 320775: A circular coffee table has a diameter of 5 ft. What will it cost to have the
top refinished if the company charges $3 per square foot for the refinishing
Click here to see answer by checkley77(12569)

Question 320880: Ms.Rodriguez plans to order from 20 to 26 books for her class. The price of the books she plans to order range from $12.95 each. if the publisher charges a shipping fee $0.50 per book ordered, which of the following is not a reasonable price for the books, including shipping...
A.$145
B.$245
C.$345
D.$445
Click here to see answer by stanbon(57250)

Question 320894: The length of a rectangle is 3 more than four times its width. Its area is 115 square feet. What is its width
I have no idea how to solve this - please help
Click here to see answer by jim_thompson5910(28504)

Question 320896: A rectangular lot is 70 yards wide and 100 yards long.
Give the length and width of another rectangular lot that has the same perimeter but a smaller area.
Click here to see answer by mananth(12270)

Question 320920: The length of the sides of a square and the sides of a regular octagon are the same. The area of the square is 196 square centimeters. What is the perimeter of the octagon? Express your answer in centimeters.
Click here to see answer by GreatDane(2)

Question 320917: A piece of string fits exactly once around the perimeter of a square whose area is 144. Rounded to the nearest whole number, what is the area of the largest circle that can be formed from the piece of string?
Click here to see answer by ankor@dixie-net.com(15639)

Question 319824: A circle is inscribed in an equilateral triangle, the radius of the circle is 6 cm. Find the area of the triangle.
Click here to see answer by Fombitz(13828)

Question 319937: Hi can you ohelp me with this problem thank you the area of a rectangle is 32 square feet. The width is half of the length find the length. Thank you!
Click here to see answer by Fombitz(13828)

Question 321129: flat-panel monitor are such that its length is 3 in. more than its width. If the length were doubled and if the width were decreased by 1 the area would be increased by 150 in. squared. What are the length and width of the flat panel.
This is from beginning algebra book tenth edition, chapter 6.6 applications of quadratic equations. Do I need to solve this problem with the formula P=2L+2W or A=LW, then move into standard form. Once it's in standard form I can figure out the problem. Please Help! Not sure how to write out the problem.
Click here to see answer by solver91311(16872)

Question 321119: If one side of a square is increased by 8 cm and an adjacent side decreased by 2 cm a rectangle is formed whose permeter is 40 cm. Find the length of a side of the square.
Click here to see answer by mananth(12270)

Question 321099: A merchant estimates that he can sell every one of his 60 tomatoes at the current price of 10 cents per tomatoe. For every day that he waits, the price of tomatoes will increase by 1 cent each, but the tomatoes will spoil at a rate of 2 per day. If all the tomatoes are sold on the same day, determine how many days he should wait before selling so as to maximize the income from these tomatoes.
Click here to see answer by ankor@dixie-net.com(15639)

Question 321272: what is the area of a square mearuring 57km on a side
Click here to see answer by rfer(12647)

Question 321306: Find the length (x) of the hexagon, if its area is 144 cm^2. The sides' measurement are these:
x:10:6:x
Click here to see answer by Alan3354(30983)

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