The length of a rectangle it twice it's within. If the perimeter of the rectangle is 30 cm, find its area.

w - width

2w - length (l)

30 cm - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 30 divide both sides by 6

w = 5 cm

2w = 2 (5) = 10

l = 10 cm

The area of a rectangle: A = lw.

Substitute:

A = (5) (10) = 50

Answer: The area is 50cm²