Question

The width of a rectangle is twice it’s height if the perimeter is 54 inches find the area

Answer 1

Let the height be x.
⇒ Height = x

The width of a rectangle is twice it’s height.
⇒ Width = 2x

Perimeter = 54
⇒2 (x + 2x) = 54

Solve x:
2 (x + 2x) = 54

Combine like terms:
2 (3x) = 54

Distribute 2:
6x = 54

Divide both sides by 6:
x = 9

Height = x = 9
Width = 2x = 2(9) = 18

Area = 9 x 18 = 162 in²

Answer: 162 in²

Answer 2

The area is 162.

You can get this by solving for the sides. One side will be 9 and the other will be 18. This is because the perimeter must be 6x since one side is x and the other would be 2x.