The perimeter of a rectangle is 26 m. the length is 4 m more than two times the width. Find the length and the width of the rectangle.

Length: 2x + 4 Width: x

Make 2 (length) + 2 (width) add up to 26 in an equation.

2 (2x + 4) + 2 (x) = 26

Distribute 2 inside the parentheses.

4x + 8 + 2x = 26

Combine like terms.

6x + 8 = 26

Subtract 8 from both sides.

6x = 18

Divide both sides by 6.

x = 3

Plug 3 for x into the length and width.

Length: 2 (3) + 4 = 10 m

Width: (3) = 3 m