Question

The area of a rectangular wall of a barn is 12 square feet. Its length is 14 feet longer than the width. Find the length and width of the wall of the barn.

Answer 1

w = 0.81 ft

l = 14.81 ft

Explanation:

The equation of the area of a rectangle is given by:

`A_(r)=l*w`

But we know that l=14+w and
`A_(r)=12 ft^(2)`

So we will have:

`12=(14+w)*w=14w+w^(2)`

`w^(2)+14w-12=0`

Solving this quadratic equation we have:

w = 0.81 ft

We just take the positive solution

So, the length will be l = 14 + 0.81 = 14.81 ft

I hope it helps you!