Question

The perimeter of a rectangular atrium is 220 inches. The length of the atrium is four times the width. Find the length and the width.

Answer 1

l = 88 and b = 22

Explanation:

Perimeter of a rectangular atrium = 220 inches

Length of atrium =
`4 * (width\ of\ atrium)`

Now, let the width of atrium be x

∴ Length of atrium = 4x.

Perimeter of rectangular atrium = 2 (l + b)

2(l + b) = 220

2 (4x + x) = 220

2 (5x) = 220

10x = 220

x = 22

So the width of rectangular atrium = 22

∴ length of rectangular atrium = 4x = 4 (22) = 88