Question

a square picture frame has a perimeter of (20x + 32) inches. What is the length of one side of the picture frame?

Answer 1

Perimeter of square is given by:

`P = 4a`

where

P is the perimeter

a is the length of one side.

Given that:

Perimeter of square = (20x+32) inches.

By definition;

Perimeter of square = 4a

Substitute the given values we have;

`20x + 32 = 4a`

Divide both sides by 4 we get;

`(20x+32)/(4) = a`

or

`a = (4(5x+8))/(4) = 5x + 8` inches.

Therefore, the length of one sides of the picture frame is, 5x+8 inches.