Question

A square and rectangle the same perimeter. Each side of the square measures 4x+4 units. The rectangle measures x and 2x+13 units on opposite sides. Find the value of x and the perimeter of the figure?

Answer 1

x = 1, p = 32

Explanation:

4(4x+4) = 2(x+2x+13)

16x+16 = 6x+26

10x+16=26

10x=10

x=1

4(4(1)+4) = 4(4+4) = 4(8) = 32