Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 1079311: An artist is creating tiles to use in a project. Each tile is to be in the shape of a right triangle. The shortest side of a tile is to be 4 inches long. The next shortest side is to be x inches long.
Enter an expression in terms of x that models the longest side of a tile.
Click here to see answer by Edwin McCravy(20055)   |
Question 1079916: A factory is printing a large square design on a circular tablecloth. The square design should be as large as possible. The tablecloth has an area of 30 square feet. What should be the maximum side length of the square design? What area of the tablecloth will not be printed with the square design?
Click here to see answer by josgarithmetic(39617) |
Question 1080035: How can I find the perimeter of a triangle if only one side is given and the hypotenuse is 3 cm longer than the unknown side. Is that possible if there is no value given for the perimeter? The question reads: Hypotenuse of a right triangle is 3cm longer than one leg. The other leg is 9cm, find the perimeter of the triangle.
so P= x +(x+3)+9
or to try and solve for the other side
a^2 +b^2 = c^2
so
9^2 + x^2 = (x+3)^2
I can't figure out how I can solve for a perimeter that is unknown when two sides are also unknown. Is it possible? Thanks?
Click here to see answer by jim_thompson5910(35256) |
Question 1080035: How can I find the perimeter of a triangle if only one side is given and the hypotenuse is 3 cm longer than the unknown side. Is that possible if there is no value given for the perimeter? The question reads: Hypotenuse of a right triangle is 3cm longer than one leg. The other leg is 9cm, find the perimeter of the triangle.
so P= x +(x+3)+9
or to try and solve for the other side
a^2 +b^2 = c^2
so
9^2 + x^2 = (x+3)^2
I can't figure out how I can solve for a perimeter that is unknown when two sides are also unknown. Is it possible? Thanks?
Click here to see answer by ikleyn(52781)  |
Question 1080418: A grain silo is shaped like a cylinder with a height of 24 feet and a diameter of 10 feet. A farmer wishes to determine how many cubic feet of grain could fit in the silo.
What is the maximum amount of cubic feet of grain that the silo could hold?
Click here to see answer by Alan3354(69443)  |
Question 1080417: Lucy has a hemispher-shaped goldfish pond in her backyard. The pond has circumference of approximately 11.9 feet.
Part A- The pond has a population density of approximately 3.6 cubic feet of water for each goldfish. How many goldfish are in Lucy's pond? Show all your work and/or explain your reasoning.
Part B- Lucy found a website that recommends 5.3 cubic feet of water for the first goldfish and 1.6 cubic feet of water for each additional goldfish. Lucy increases the number of goldfish in her pond to the maximum number based on the recommendations for the website. What is the new population density of the pond? Show all your work and/or explain your answer.
Click here to see answer by josgarithmetic(39617) |
Question 1080543: A farmer can plant 50 coffee plant on a section of land, and the average yield will be 5kg of dried beans per tree. He can plant more plants, but each additional plan reduce the out put average by 0.09kg. How many plants should he planted on the plot to maximize the total output of the coffee.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1080619: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 22 inches and a second side that is 2 inches less than twice the third side, what are the possible lengths for the second and third sides?
Click here to see answer by rapture(86)  |
Question 1080619: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 22 inches and a second side that is 2 inches less than twice the third side, what are the possible lengths for the second and third sides?
Click here to see answer by ikleyn(52781) |
Question 1080900: Taylor sketches a picture on a coordinate grid. The corners of the picture are at (5, 2), (1, 2), (1, 3)and (5, 3). He wants to glue black ribbon around the edges of the picture. How much ribbon does Taylor need?
Click here to see answer by Boreal(15235)  |
Question 1080946: I am completely stuck on a word problem for my homework. I don't even know how to start my thinking process! Here's what it says:
"Charlie and Sharon have a circular pool in their backyard. They bought some fencing to put around the pool, but by mistake, Charlie ordered exactly the circumference of the pool. If they want the fence to be 4 feet from the pool on all sides, how many more feet of fencing do they need?"
Any help you could give me would be greatly appreciated!
-Amy
Click here to see answer by josmiceli(19441)  |
Question 1080889: You are creating a piece of artwork for the school art show. You need to buy a piece of canvas that is large enough to stretch and secure around a wooden frame. You plan that the length of your piece will be 5 inches more than twice the width, and you will need 1 inch extra on each side to secure the canvas to the frame.
a. Write a polynomial expression that represents the area of the canvas
b. You want the area of the piece to be 364 square inches. How wide should your canvas be? Round your answer to the nearest hundredth
Click here to see answer by jorel1380(3719)  |
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