Question

A square and a rectangle have the same perimeters. The length of a side of the square is 4x-1. The length of the rectangle is 2x+1 and the width is x+2. Write and solve an equation to find x.

Answer 1

Perimeter of Rectangle= Perimeter of square

2(L+B) = 4*L
2(2x+1 + x+2) = 4*(4x-1)
6x+6= 16x -4
10x = 10
x = 1