Question

The perimeters of the

square and the rectangle
below are the same. Write
and solve an equation to find
the value of x.

Answer 1

`x = 5`

Explanation:

Find the side length of the square. The formula is for area is

`a = {s}^(2)`

So take the square root to find the side length.

`√(121) = \sqrt{ {s}^(2) }`

`s = 11`

Now find the perimeter of the square.

`11 * 4 = 44`

setup the equation to solve for x. The left side is the perimeter of the rectangle and the right is the perimeter of the square.

`3x + 3x + x - 2 + x - 2 = 44`

Collect like terms

`8x - 4 = 44`

subtract 4 from both side

`8x = 40`

divide both side by 8

`x = 5`