Questions on Word Problems: Geometry answered by real tutors!

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Question 918314: Mr. James has 400 feet of fencing to enclose all sides of a rectangular garden. What should be the length and width of the garden to give the maximum area?
Click here to see answer by Alan3354(69443)

Question 918410: Hello! Can you please explain how to solve this word problem?
The hypotenuse of a right triangle is twice as long as one of its legs. The other leg is nine inches long. Find the hypotenuse.
I know that I use the Pythagorean Theorem formula, a^2+b^2=c^2. I need help making the equation and solving it please, thank you in advance!
Click here to see answer by josgarithmetic(39617)

Question 918538: the line parallel to y=5x+1 that passes through (3,8).
Click here to see answer by MathLover1(20849)

Question 918663: how do you solve t(6t+5)=0
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Question 918676: A rectangular park is
100
yards long and
55
yards wide.
Give the length and width of another rectangular park that has the same perimeter but a larger area.
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Question 918731: A rectangular flag has an area of 3/8 square foot. The width is 3/4 foot. What is the length of the flag?
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Question 918734: Shelly is making a quilt which will have an area of 87 1/8 square feet. The length of the quilt will be 10 1/4 feet. What should be the width in feet of Shelly's quilt?
Click here to see answer by stanbon(75887)

Question 918831: Suppose that out of 1500 first year students at a certain college, 350 are taking history , 300 are taking mathematics, and 270 are taking both history and mathematics. How many first year students are taKing history or mathematics?
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Question 918928: Can my 8 ft long x 3 ft wide showcase fit diagonally in a 5'x5' storage unit? THank you, Celeste
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Question 918912: two rectangular plots of land are equal in area . the length of the first plot is one and a half times its width. the length of the second plot is 3 meters less than 15 its width.
denoting the width of the first plot by x meters and the width of the second plot by y meters, derive a relation between x and y.

Click here to see answer by josgarithmetic(39617)

Question 919119: Find the equation of the common chord for the circles x^2 + y^2 + 2x - 3=0 and x^2 + y^2 -6x-3=0 that intersect orthogonally
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Question 919183: One side of a triangle is 4m longer,and another 3m longer than the shortest side.if the perimeter of the triangle is 25m,find the lengths of the three side
-My tried solution 2(3x+x+4x)=25
6x+2x+4x=25
12x=25
x=2.08,so lenths are 4m,5.08m,2.08m
Click here to see answer by stanbon(75887)

Question 919275: The perimeters of the sqaure and rectangle are equal. The length of tge rectangle is one less than twice the lenght of the side of the square and the width of the rectangle is two thirds the lenght of the side of the square. Find the dimensions of each and their perimeter
Click here to see answer by josgarithmetic(39617)

Question 919333: If the perimeter of a right angled triangle ABC is 120cm and the hypotenuse AC is 50cm, what is the length of side AB, if BC is x cm long? Determine the value of x
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Question 919364: The hypotenuse of a right triangle is twice as long as one leg and 20 cm longer than the other leg. The perimeter is 240 cm. What is the area of the triangle?
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Question 919373: A land mass is roughly in the shape of a rectangle whose perimeter is 272ft. The length is three times the width. what is the length and width?
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Question 919351: A person drives from town A to town B at 118km/hr. The return journey takes 30 minutes less when travelling at 132km/hr. what was the distance between the towns...
Click here to see answer by josmiceli(19441)

Question 919465: The base of an isosceles triangle is 30cm less than one of its sides. If the perimeter is 210cm find the dimension of the triangle.
Click here to see answer by lwsshak3(11628)

Question 919311: a square filed with side 30 meter is inside by a path of uniform width. If the area of the path is 256 meter square, the width of the path is
Click here to see answer by ankor@dixie-net.com(22740)

Question 919728: Create a 3-d or drawing with dimensions with length 2inches longer than twice its width and depth 3 inches longer than its width
Click here to see answer by Alan3354(69443)

Question 919764: A coat hanger is in the shape of an isosceles triangle. The measure of the angle formed by one of the congruent sides with the base is 75�. What is the measure of the angle formed by the other congruent side and base
Click here to see answer by ewatrrr(24785)

Question 919768: Martha's garden is 5 m wide and 8 m long. Next year she plans to double the garden's area by increasing the width and length by the same number of meters. What will be the new dimensions of the garden?
Click here to see answer by josgarithmetic(39617)

Question 919891: A school playground is rectangular and has a length of 50 m and a width of 30 m as shown. A safety zone of uniform width surrounds the playground. If the area of the safety zone equals the area of the playground, what is the width of the safety zone?
Click here to see answer by josgarithmetic(39617)

Question 919893: A square is transformed into a rectangle by increasing the length by 8 m and the width by 5 m, If the area of the resulting rectangle is 108 m^2, algebraically determine the length of each side of the original side.
Click here to see answer by mananth(16946)

Question 919934: The perimeter of a rectangular sandbox is 36 ft. The length is five times the width.
a) Write an equation representing the length (𝒍 = 𝒍𝒆𝒏𝒈𝒕𝒉)
Click here to see answer by MathLover1(20849)

Question 919985: A coat hanger is in the shape of an isosceles triangle. The measure of the angle formed by one of the congruent sides with the base is 75�. What is the measure of the angle formed by the other congruent side and base?
Click here to see answer by ewatrrr(24785)

Question 920025: A room that is 30 meters long and 20 meters wide needs to be carpeted. The cost of the carpet is $10 per square meter. Find the total cost of carpeting the room.

Click here to see answer by josmiceli(19441)

Question 920039: the area of asquare park is (x2 + 8x +16) square units. find its sides by finding its factors

Click here to see answer by Fombitz(32388)

Question 920039: the area of asquare park is (x2 + 8x +16) square units. find its sides by finding its factors

Click here to see answer by ewatrrr(24785)

Question 920167: A 2 1/2 foot by 3 1/2 foot poster is going to be reduced so that the longer side is only 14 inches. What will be the length of the shorter side?
Click here to see answer by ewatrrr(24785)

Question 920229: The sun is elevated at 45 degrees and a tree cast a shadow of 66 ft. How tall is the tree?

Click here to see answer by Alan3354(69443)

Question 920250: 1. A city block is 3 times as long as it is wide. If the distance around the block is 0.48 kilometers, what is the area of the block in square meters?
Click here to see answer by ankor@dixie-net.com(22740)

Question 873457: Ginger wants to build a fence around her circular garden. The diameter of her garden is 4 feet. How much fencing will she need?
Click here to see answer by adamnetra(1)

Question 873457: Ginger wants to build a fence around her circular garden. The diameter of her garden is 4 feet. How much fencing will she need?
Click here to see answer by MathTherapy(10552)

Question 920602: The height of a triangle is 5cm more than the length of the base .if the area of the triangle is 75cm2, find the height and length of the base
Click here to see answer by stanbon(75887)

Question 920947: A triangle has sides of lengths 10 feet, 24 feet, and 26 feet. What is the measure of the angle between the two shortest sides?

a. 30�
b. 60�
c. 90�
d. 120�
e. 150�

Click here to see answer by ewatrrr(24785)

Question 920937: Pat and Blair mow lawns together. When Pat mows the lawn for Mr. Rodriguez, it takes 100 minutes. When Pat and Blair mow the lawn for Mr. Rodriguez together, they get the job done in 40 minutes. How long will it take Blair to mow the lawn for Mr. Rodriguez alone?
Click here to see answer by josgarithmetic(39617)

Question 920918: The length of a rectangle is 3 feet more than twice its width. The area is 65 square feet. Find the dimensions of the rectangle using the quadratic formula.
Click here to see answer by ewatrrr(24785)

Question 921097: What I s the length of each wall in a 225 square room?
I divided 225 between 4, but my daughter says she can't have remainder.
Click here to see answer by MathLover1(20849)

Question 921012: james estimates the walls of his classroom to be 7m by 6m to the nearest metre. write the least upper bound and the greater lower bound for the lengths of the classroom walls
Click here to see answer by ewatrrr(24785)

Question 921018: A square porch and a porch shaped like a regular hexagon each have the same perimeter.
a) which shape has a longer side?
b) express the length of the shorter side as a fraction of the length of the longer side.
Click here to see answer by ewatrrr(24785)

Question 921031: A rectangular vegetable patch has an area of 28 square meters and a perimeter of 22 meters. What are the dimensions of the vegetable patch?
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