Question

The lengthy of a rectangle is 2 times its width. The area of the rectangle is 72 square inches. Find the dimensions of the rectangle

Answer 1

w= width
l= 2w= length

Area= length * width
substitute l= 2w for the length
72= 2w * w
72= 2w^2
divide both sides by 2
36= w^2
take the square root of both sides
6 inches= w

Substitute to find length:
2w= 2(6)= 12 inches

CHECK:
72= 6 * 12
72= 72

ANSWER:
Width= 6 inches; Length= 12 inches

Hope this helps! :)