SOLUTION: Set up an equation and solve the following problem. (Objective 8) The area of a square is one-eighth as large as the area of a triangle. One side of the triangle is 64 inches long

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Set up an equation and solve the following problem. (Objective 8) The area of a square is one-eighth as large as the area of a triangle. One side of the triangle is 64 inches long      Log On


   

Question 709593: Set up an equation and solve the following problem. (Objective 8)
The area of a square is one-eighth as large as the area of a triangle. One side of the triangle is 64 inches long, and the altitude to that side is the same length as a side of the square. Find the length of a side of the square.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Square with side length x. Area is x%5E2.

Triangle base 64, height x. Area is %281%2F2%29%2A64%2Ax.

We are given that x%5E2=%281%2F8%29%2A%281%2F2%29%2A64%2Ax.
x%5E2=%281%2F8%29%2A%281%2F2%29%2A8%2A2%2A4%2Ax
x%5E2=4x
x%28x-4%29=0
.
highlight%28x=4%29