Question

The perimeter of rectangular room is 144 feet. The length is 3 times the width. Find the area of the room.

Answer 1

972 square feet

Explanation:

Let x feet be the width of the rectangular room.

The length is 3 times the width, so the length is 3x feet.

The perimeter of the rectangular room is

`P=2(\text{Width}+\text{Length})\\ \\144=2(x+3x)\\ \\144=2\cdot 4x\\ \\144=8x\\ \\x=18\ feet`

Thus,

Width = 18 feet

Length = 54 feet

Find the area of the room:

`A=\text{Width}\cdot \text{Length}\\ \\A=18\cdot 54=972\ ft^2`