# Questions on Word Problems: Geometry answered by real tutors!

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 Word Problems: Geometry Solvers Lessons Answers archive Quiz In Depth

 Question 165764: a carpet layer wishes to determine the cost of carpeting a rectangular room whose perimeter is 52 feet. Suppose that the length of the room is 4 feet more than its width. Find (a) the length and width of the room (b) the cost of the carpet if it costs \$18.95 per square yard Need help setting up this problem Click here to see answer by jojo14344(1513)

 Question 166102: A collection of triangles and pentagons contains 40 shapes having a total of 138 sides. How many pentagons are there? Click here to see answer by stanbon(60771)

 Question 166041: The hypontenuse of a right triangle is 13ft. The longer leg is two more than twice the length of the shorter leg. Find the length of each leg. Click here to see answer by Mathtut(3670)

 Question 166039: The area of a triangle is 56ft^2. If the base is 9 ft more than the altitude, find the length of the base and the altitude. Click here to see answer by orca(409)

 Question 166264: Will you help me with this problem: A square and a rectangle have the same perimeter. The lenghth of the rectangle is 4cm less than twice the side of the square,and the width of the rectangle is 6cm less than the side of the square. Find the perimeter of each figure. Click here to see answer by scott8148(6628)

 Question 166560: Hey, I just need help with two word problems. 1st one: A lot is in the shape of a right triangle. The shorter leg measures 180 m. The hypotenuse is 60 m longer than the length of the longer leg. How long is the longer leg?? 2nd one: A rectangular piece of cardboard measuring 28 inches by 29 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each such square. For what value of x will the volume be a maximum? If necessary, round to 2 decimal places. Thank u Click here to see answer by nerdybill(7090)

 Question 166842: John owns a hotdog stand. He has found that his profit is represented by the equation P(x)= -x^2+62x+79, with P being profits and x the number of hotdogs sold. How many hotdogs must he sell to earn the most profit? Click here to see answer by Fombitz(13828)

 Question 167152: A flat panel monitor are such that its length is 3 in. more than its width. If length were doubled and if the width were decreased by 1 in., the area would be increased by 150 in.2(squared). What are the length and width of flat panel monitor? Click here to see answer by nerdybill(7090)

 Question 167332: A plane is flying at an elevation of 24000 feet. It is within sight of the airport and the pilot finds that the angle of depression to the airport is 25 degrees Find the distance between the plane and the airport. Find the distance between a point on the ground directly below the plane and the airport Click here to see answer by Mathtut(3670)

 Question 167365: American flag has a perimeter of 28 feet. Find the dimensions of the flag if the length is 4 feet less than twice it's width Click here to see answer by Mathtut(3670)
 Question 167365: American flag has a perimeter of 28 feet. Find the dimensions of the flag if the length is 4 feet less than twice it's width Click here to see answer by aswathytony(47)

 Question 167456: TEWNTY NINE IS THE SHORTEST LEG OF A RIGHT ANGLED TRIANGLE THE HYPOTENUS AND OTHER LEG ARE TWO CONSECUTIVE WHOLE NUMBERS. WHAT ARE THE LENGHTS OF THE LEG AND HYPOTENUS Click here to see answer by Mathtut(3670)
 Question 167456: TEWNTY NINE IS THE SHORTEST LEG OF A RIGHT ANGLED TRIANGLE THE HYPOTENUS AND OTHER LEG ARE TWO CONSECUTIVE WHOLE NUMBERS. WHAT ARE THE LENGHTS OF THE LEG AND HYPOTENUS Click here to see answer by checkley77(12569)

 Question 167459: Each of the three dimensions of a cube with sides of length s centimeters is decreased by a wholw number of centimeters. The new volume in cubic centimeters is given by V(s)=s^3 -13s^2+54s-72 A) Find V(10) B.) If thenew width is s-6 centimeters, then what are the new length and height? C.) Find the volume when s = 10 by multiplying the lenght,width and height Answer for C- please inform if incorrect V(10) =10^3-13(10)^2+54(10)-72 10v=1000-13(10)^2+54(10)-72 1000-1300 -300+540-72 V=168 Click here to see answer by oscargut(1838)

 Question 167832: This word problem involves quadratic equations which I am having a very difficult understanding. The width of a rectangle is 4 ft less than the length. The area is 12ft^2. Find the length and width. I start out translating the equation like this: A=LW L=length 4-L=width 12ft^2=L(4-L) then I get lost from that point. Click here to see answer by nerdybill(7090)

 Question 167979: A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally. Click here to see answer by checkley77(12569)

 Question 168074: The altitude of a triangle exceeds the base by four inches. In the area of the triangle is 30 square inches, the base and altitiude of the triangle are ____ and ____ respectively. Click here to see answer by jojo14344(1513)

 Question 168503: The largest angle in a triangle is twice the degree measure of the second largest angle. One-third of the largest angle is 10 degrees larger than the difference of the other two.. Whaat is the measure in degreesof the smallest angle? Click here to see answer by gonzo(654)
 Question 168503: The largest angle in a triangle is twice the degree measure of the second largest angle. One-third of the largest angle is 10 degrees larger than the difference of the other two.. Whaat is the measure in degreesof the smallest angle? Click here to see answer by miguelmcp(1)

 Question 169117: I am trying to find the area of a triangle. I looked on the Internet for the formula for finding area but I couldn't understand it. Please help. The problem is: Find the exact area of a triangle with a base of square root 30 meters and a height of square root 6 meters. Click here to see answer by Alan3354(34677)

 Question 169153: Can you tell me what the perimeter of a rectangular backyard is that is 6x + 6 yards. If the width is x yards, can you please find a bionomial that represents the length. Thanks! Click here to see answer by mangopeeler07(462)

 Question 169292: Please help with these two word problems. I just found out from the team leader that she did not post all of our assignments and these two are due tonight from me. I would greatly appreciate your help. #94. Golden painting. An artist wants her painting to be in the shape of a golden rectangle. If the length of the painting is 36 inches, then what should be the width? See the previous exercise ***This is the previous exercise:Golden Rectangle. One principle used by the ancient Greeks to get shapes that are pleasing to the eye in art and architecture was the Golden Rectangle. If a square is removed from one end of a Golden Rectangle, as shown in the figure, the sides of the remaining rectangle are proportional to the original rectangle. So the length and width of the original rectangle satisfy L/W=W/L-W.I hope this is understandable. #84. Gone fishing. Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water? Click here to see answer by scott8148(6628)

 Question 169636: An apple orchard contains 84 trees. The number of trees per row is five more than the number of rows. Find the number of rows. Click here to see answer by Mathtut(3670)

 Question 170621: If a regular Hexogram (6 sides) has a overall diameter of 10', what would each of the 6 sides measure? Click here to see answer by stanbon(60771)

 Question 170636: Originally the dimensions of a rectangle were 20 cm by 23 cm. When both dimensions were decreased by the same amount, the area of the rectangle decreased by 120 cm^2. Find the dimensions of the new rectangle. Click here to see answer by checkley77(12569)
 Question 170636: Originally the dimensions of a rectangle were 20 cm by 23 cm. When both dimensions were decreased by the same amount, the area of the rectangle decreased by 120 cm^2. Find the dimensions of the new rectangle. Click here to see answer by stanbon(60771)

 Question 170649: How many five letter words can be made from the alphabet if repetition is allowed? Click here to see answer by stanbon(60771)

 Question 170703: The length of a rectangular tennis court is five feet more than twice the width. The perimeter is 82 feet. Write an equation, and solve the equation to find the width. Click here to see answer by jojo14344(1513)

 Question 170734: The length of a rectangle is 25 more inches more than its width. If a 2 inch square is cut from each corner and the sides are folded up, the resulting open box has a volume of 372 cubic inches. Find the width of the original rectangle. Click here to see answer by checkley77(12569)

 Question 170758: The longer leg of a right triangle is 4 cm more than four times the length of the shorter leg. The hypotenuse is 1 cm longer than the longer leg. How long are the sides of the triangle? Click here to see answer by nerdybill(7090)

 Question 170699: The length of a rectangular tennis court is five feet more than twice the width. The perimiter is 82 feet. Write an equation, and solve the equation to find the width. Click here to see answer by checkley77(12569)

 Question 171000: Hello My name is Deborah. I was wondering if you can help me solve this problem. A rectangular room is 14ft by 12ft. A carpenter plans to instll molding along the top of each wall. What is the perimeter of the room in feet? This is my answer. 52 14x14=28 12x12=24 28+24=52ft Thank you in advance. Click here to see answer by Mathtut(3670)

 Question 171016: The length of a rectangle is 1ft less than twice its width. The area is 55ft^2 find the perimeter. Click here to see answer by checkley77(12569)

 Question 171060: If a 5x9x12 rectangular block of wood is painted red and then cut into 540x1x1x1 cubes, how many cubes will have red paint on them? Click here to see answer by checkley77(12569)

 Question 171182: The area of a right triangle is 250in square. Find the lengths of its legs if one leg is 5inches longer than the other. Click here to see answer by oscargut(1838)
 Question 171182: The area of a right triangle is 250in square. Find the lengths of its legs if one leg is 5inches longer than the other. Click here to see answer by monika_p(71)

 Question 171165: One side of a rectangular stage is 2 meters longer then the other. If the diagonalis is 10 meters then what are the lenghts of the side? Click here to see answer by monika_p(71)

 Question 171289: I need your help on the following word problem: A rectangle is 15cm wide and 18cm long. If both dimensions are decreased by the same amount, the area of the new rectangle is 116cm squared less than the area of the original. Find the dimensions of the new rectangle. Thank You Click here to see answer by gonzo(654)
 Question 171289: I need your help on the following word problem: A rectangle is 15cm wide and 18cm long. If both dimensions are decreased by the same amount, the area of the new rectangle is 116cm squared less than the area of the original. Find the dimensions of the new rectangle. Thank You Click here to see answer by solver91311(18785)

 Question 171431: 93. You are taking a pottery class. As an assignment, you are given a lump of clay whose volume is 200 cubic centimeters and asked to make a cylindrical pencil holder. The pencil holder should be 9 cm high and have an inner radius of 3 cm. What thickness "x" should your pencil holder have if you want to use all the clay? (hint: the volume of clay equals the difference of the volumes of two cylinders.) The answer in the back of the book is "about" 1 cm but i dont know why. Should i use completing the square? ive tried all the cylinder equations and nothing gives me 1. Click here to see answer by Mathtut(3670)
 Question 171431: 93. You are taking a pottery class. As an assignment, you are given a lump of clay whose volume is 200 cubic centimeters and asked to make a cylindrical pencil holder. The pencil holder should be 9 cm high and have an inner radius of 3 cm. What thickness "x" should your pencil holder have if you want to use all the clay? (hint: the volume of clay equals the difference of the volumes of two cylinders.) The answer in the back of the book is "about" 1 cm but i dont know why. Should i use completing the square? ive tried all the cylinder equations and nothing gives me 1. Click here to see answer by scott8148(6628)

 Question 171333: A wall of a tent is shaped like a triangle and has an area of 48 square feet. The base of the wall is 2 feet shorter than 3 times the height. Find the length of the base and the height of the wall. My Work: A= 1/2bh ------ b=3x-2 --------- h=x A= 1/2 bh --------- 48= 1/2(3x-2)(x)------- 48=1/2(3x^2-2x)---------- 96=3x^2-2x---- 0= 3x^2-2x-96--------- 0=(3x-?)(x+?) *** the carrot 2 means "three x squared" Click here to see answer by checkley77(12569)

 Question 171460: a rectangle is one fourth as wide as it is long. it is 20 feel long. what is its perimiter? Click here to see answer by Alan3354(34677)

 Question 171596: This year Mr. Markel is getting paid \$216,000 to teach two algebra classes. This is 8% more than he was paid last year. What was he paid last year? Click here to see answer by nerdybill(7090)