Question

A square has sides that measure 8x + 5 inches. A rectangle has two sides that measure 4x - 5 inches and two sides that measure 12x + 15 inches.

For what value of x will the perimeters of the square and rectangle be the same?​

Answer 1

The perimeter of the square is 32x + 20 inches, and the perimeter of the rectangle is (4x - 5) + (4x - 5) + (12x + 15) + (12x + 15) = 32x + 20 inches.

So, to find the value of x that makes the perimeters the same, we set 32x + 20 = 32x + 20 and solve for x.

x = 0

Explanation: