SOLUTION: the area of a square is 1/4th as large as the area of a triangle. One side of the triangle is 16 inches long, and the altitude to that side is the same length as a side of the squa

Algebra.Com
Question 913148: the area of a square is 1/4th as large as the area of a triangle. One side of the triangle is 16 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 mananth(16946)   (Show Source): You can put this solution on YOUR website!
the area of a square is 1/4th as large as the area of a triangle. One side of the triangle is 16 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.
length of square = x
Area of square = x^2
area of triangle = 4x^2

Area of triangle = 1/2 * 16 * x
4x^2 = 8x
4x=8
x=2

RELATED QUESTIONS

The area of a square is one third as large as the area of a triangle. One side of the... (answered by josmiceli)
Set up an equation and solve the following problem. (Objective 8) The area of a square... (answered by josgarithmetic)
The area of a square is a 1/4 as large as the area of a triangle. The triangle has a 16... (answered by checkley77)
The base of a triangle is one third as long as its height. If the area of the triangle... (answered by MathLover1)
The base of a triangle is one-third as long as its height. If the area of the triangle... (answered by Earlsdon)
The base of a triangle is one-third as long as its height. If the area of the triangle is (answered by mananth,rfer)
The base of a triangle is one-third as long as its height. If the area of the triangle... (answered by solver91311)
The base of a triangle is one-third as long as its height. If the area of the triangle is (answered by Fombitz,nyc_function)
The base of a triangle is one-third as long as its height. If the area of the triangle is (answered by nyc_function)