Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 914032: A 7ft. board is cut into 2 pieces so that one piece is 3 feet longer than 3 times the shorter piece. Find the lengths of both sides. Please help me set this up into an equation thank you!(:
Click here to see answer by jim_thompson5910(35256)

Question 914206: a triangle has an area of 96 square inches and its height is two-thirds of its base. what are the base and height of the triangle?

Click here to see answer by MathLover1(20849)

Question 914263: Can you help me with this problem?
A metal bar, 60 cm long, is to be divided into four parts. Two of the bars are to have the same lengths and the other two parts are also of equal lengths, but each of the first two are to be 4 cm shorter than each of the other two parts. Find the length of each.
Click here to see answer by lwsshak3(11628)

Question 914281: How many 40 centimetre lengths can be cut from 8 metres of plastic film?
Click here to see answer by fave(7)

Question 914300: I have a question...its a word problem leading to a quadratic equation
The dimensions of a right angle triangle are given in terms of x.2x is the hypotenuse,(x+3) is the opposite and (x+1) is the adjacent.find x
Click here to see answer by mananth(16946)

Question 914341: If we have a rectangular garden 75 m squared and its perimeter of his garden is 40 m how can we calculate the dimensions?
Click here to see answer by ewatrrr(24785)

Question 914302: given 4 ropes of lengths 40m,28m,88m and 64m, how do i cut the ropes into equal pieces..what could be the greates possible length of a piece?
Click here to see answer by josmiceli(19441)

Question 914491: Can you please help me in this question?:
One of the base angles of an isosceles triangle measures 15 degrees less than the largest angle. What is the measurement of the largest angle?
Note: I was rather confused withe the phrase "one of the base angles" because I thought there could only be one base.
Click here to see answer by josgarithmetic(39617)

Question 914526: The length of a rectangle is 2 more than 3 time the width. if the perimeter is 68 cm. what is the area
I want to know the algebraic equation
Click here to see answer by ewatrrr(24785)

Question 914569: what is the square root of a House if its 200 ft long and 250ft wide
Click here to see answer by richwmiller(17219)

Question 914573: a total of 34 feet of 1x4 lumber is used around the perimeter of the gate. if the diagonal brace is 13 feet long, then what are the length and width of the gate.
Click here to see answer by ewatrrr(24785)

Question 914719: A rectangular solar panel has a length that is 11 inches shorter than 3 times its width. If the perimeter of the panel is 178 inches what are the dimensions
Click here to see answer by rfer(16322)

Question 915319: a footpath of uniform width run round the inside of a rectangular field 38 meter long and 32 meter wide. If path occupies 600 meter square .Find the width ?

Click here to see answer by ewatrrr(24785)

Question 915415: A cylinder and sphere both have the same diameter and the same volume.If the height of the cylinder is 36cm.Find their common radius
Click here to see answer by ewatrrr(24785)

Question 915410: The diameter of an iron ball used in putting the shot is 12cm.The density of the iron is 7.8g/cm*3.Calculate the mass of the ball in kg to 3significant figures
Click here to see answer by ewatrrr(24785)

Question 915396: The radii of two similar cones are in the ratio 5:3.Find the ratio of their volumes
Click here to see answer by josgarithmetic(39617)

Question 915466: My square and my cube are identical. Who am I?
Click here to see answer by josgarithmetic(39617)

Question 915688: John has a swimming pool that is 30 feet by 40 feet. He wants to plant a strip of grass of uniform width around the pool. He has enough seed to cover 144 square feet. How wide should the strip be?
Click here to see answer by mananth(16946)

Question 915786: Square room with 400 square bricks of 15 cm long..what size is the length if the room?
Click here to see answer by josmiceli(19441)

Question 915831: I have a 24x32 print and I need to equally divide the print into 60 squares. What will be the size of each square to make 60 squares and when combined make a 24x32 collage.
Click here to see answer by josmiceli(19441)

Question 916502: A hall is 20m long and 18 m broad . A carpet is to be laid to this hall leaving a margin of 1m around.
1)Find its length and breath of the carpet required.
2) Find the area of the carpet and its cost at the rate of rupees 150 per square meter.

Click here to see answer by Theo(13342)

Question 916618: The 15-foot board in the illustration has been cut into two parts, one twice as long as the other. How long is each part?
The smaller part is labeled x
The larger part is labeled 2x
Click here to see answer by MathLover1(20849)

Question 916621: A billboard is 10 feet longer than it is high. The billboard has 336 square feet of advertising space. What are the dimensions of the billboard?
Click here to see answer by kmadison(20)

Question 916735: the perimeter of a rectangle is 60 meters and the area is 221 square meters. Find its dimensions
Click here to see answer by lwsshak3(11628)

Question 916776: In a right triangle ABC, the hypotenuse is AB, with AC=5 and BC=12. Make a square ABLH from the hypotenuse. What is the length of CH?
Click here to see answer by MathLover1(20849)

Question 916700: one leg of a right triangle if 1 foot less than twice the other. the hypotenuse if 17 feet. find the lengths of the two legs
Click here to see answer by ewatrrr(24785)

Question 916710: The height of a right triangle is 4 feet more than twice the length of its base. Express the area of the triangle as a function of the length of its base, x, in feet.
Click here to see answer by ewatrrr(24785)

Question 916913: How do you find the area for this expression?: Erik has 2000 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
Click here to see answer by stanbon(75887)

Question 916952: An airplane is flying 10,500 feet above level ground. The angle of depression from the plane to the base of
a tree is 23degrees. How far horizontally must the plane fly to be directly over the tree?
Click here to see answer by mananth(16946)

Question 916954: The angle of elevation from the top of a small building to the top of a nearby taller building is 52degrees, while the
angle of depression to the bottom is 18degrees. If the smaller building is 32 meters high, find the height of the
taller building.
Click here to see answer by mananth(16946)

Question 917020: The base of a triangular field is three times its height.if the cost of cultivating the field at ₹1080 per hectare is ₹14580 find its base and height.
Click here to see answer by ewatrrr(24785)

Question 917279: What is the width of a uniform expansion needed all around to double the area of a 10 cm by 15 cm rectangle?
Click here to see answer by josgarithmetic(39617)

Question 917355: How many bricks are required to construct a road 300m long and 5�6m wide, if each of the brick is 30cm in length and 16cm in breadth?
Click here to see answer by stanbon(75887)

Question 917347: Two squares have perimeters of 20 inches and 48 inches. How much longer is a side of the larger square than a side of the smaller square?

A.
6 inches

B.
7 inches

C.
8 inches

D.
12 inches
Click here to see answer by MathLover1(20849)

Question 917490: You are fencing in a rectangular area for a garden.
You have only 150 ft of fence. You want the length
of the garden to be at least 40 ft. You want the width
of the garden to be at least 5 ft. What is a graph showing
the possible dimensions your garden can have?
�What variables will you use? What will they represent?
�How many inequalities do you need to write?
Click here to see answer by stanbon(75887)

Question 917627: A 10 foot rope is used to tie down a shop sign, if the angle of elevation of the rope from the ground is 75 degrees, how high is the sign? This is a trig function problem. (angle of elevation to solve problem)
Click here to see answer by mananth(16946)

Question 917705: I don't understand what to do. The perimeter of a rectangle is 40 inches. Find the dimensions if the length is 2 inches less than twice the width. Please help me solve it. I did let steps like x=the width and 2x-2= the length but I don't know if that is correct.
Click here to see answer by josgarithmetic(39617)

Question 918030: the lines with equations ax+2y=c and bx-3y=d are perpendicular. how to find a.b
Click here to see answer by josgarithmetic(39617)

Question 918075: find the equation of the line containing the point (-2,-5) and parallel to the line containing the points (-2,9) and (3,-10)
Click here to see answer by srinivas.g(540)

Question 918116: find (15)3/4
Click here to see answer by MathLover1(20849)

Question 918184: A triangle has a height of x meters and a base of 14 meters. Write and solve an inequality for the values of x that give an area of at most 112 m^2
Click here to see answer by ewatrrr(24785)

Question 918195: you borrowed $112 from your sister and told her that you would pay $8 a week until the loan is paid. your brother borrowed $165 from your sister and told her he would pay $13.75 a week until the load is paid.
1. write a linear equation that represnets the balance of each loan. identify the slop and y-intercept of each equation and explain what they represent in the real-life situation.
2. use a graph to determine who will pay off their loan first. explain reasoning.
3. explain how you can verify your answer to part (b) algebraically.
4. explain the meaning of the intersection of the two lines in terms of the real-life situation.
5. after the third week, you decide to pay your sister $11 a week until the load is paid off. does this change your answer to part 2. explain reasoning.
Click here to see answer by josmiceli(19441)

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