Question

The length of the sides of a square measure 2x-5. The length of a rectangle measure 2x, and the width measures x=2.For what value of xis the perimeter of the square the same of the rectangle?

Show work

F. x=2
H. x=10
G. x=7
I. x=12

Answer 1

Show perimeter of square = perimeter of rectangle
The perimeter of the square=all four sides added together (all the sides are the same)

The perimeter of the rectangle=all four sides added together (two of the sides are the same and the other two sides are the same)

Therefore, the following is true:

4(2x-5) = 2(2x) + 2(2)
8x-20 = 4x+4
4x = 24
x = 6

Proof:

Square: 4(2x-5) = 4(12-5) = 4(7) = 28
Rectangle: 2(12)+4 = 24+4 = 28