Question

The length of a rectangle is four times its width.

If the perimeter of the rectangle is 70 ft, find its area.

Answer 1

The area of the rectangle is 196 ft^2.

Explanation:

Looking for: Area

The length of a rectangle is four times its width can be translated into

l = 4w

Perimeter = 2w + 2l

2w + 2(4w) = 70

2w + 8w = 70

10w = 70

w = 7

l = 4w

l= 4(7)

l=28

Area = l times w

28 times 7 = 196

The area of the rectangle is 196 ft^2.

Answer 2

196 ft^2

Explanation:

4(w) = L

2w + 2L = 70

2w + 2(4w) = 70

10w = 70

w = 7

4(7) = 28

Area = 28*7

Area = 196