Question

The length of a rectangle is six times its width.

If the perimeter of the rectangle is 84 in, find its area.

Answer 1

Explanation:

Length = 6x

width = let x be width

Perimeter = 84 in

Now

Perimeter = 2 ( l + b )

84 = 2 ( 6x + x )

84 = 2 × 7x

84 / 2 = 7x

42 = 7x

x = 42 / 7

x = 6

now

width = 6 yards

length = 6x = 6 × 6 = 36 yards

now

area = l × b

= 6 × 36 yd

= 216 yd²