Question

The area of a rectangular living room is 192 square feet. The length of the room is 8 feet less than twice the width. What is the width of the living room in feet?

Answer 1

The width of the living room is 10 feet.

Explanation:

Let the width of the living room is w.

And the length of the room is 2w - 8 ft.

Given,

The area of the room is 192 feet^2, by using the formula of area of a rectangle we get,

A = l × w

192 = (2w - 8) × w

Now,

192 = 2w^2 - 8w ( By expanding)

200 = 2w^2 (By adding 8w to both sides)

100 = w^2 (Dividing both sides by 2)

If we take square root on both sides,

w = 10

So,

The width of the living room is 10 feet.