Question

A rectangular rug has an area of 84 square feet. If the length is 8 feet more than the width, find the dimensions of the rug.​

Answer 1

w=6

l=14

Explanation:

Area of rectangle = l*w

So:

`w*(w+8)=84`

Then, just find w, and w+8.

`w^2+8w=84\\w^2+8w-84=0\\(w-6)(w+14)=0\\w-6=0, w=6\\w+14=0, w=-14`

Length cannot be negative, so the width is 6.

Length = width + 8 = 6+8=14