The area of a rectangular wall of a barn is 110110 square feet. its length is 1212 feet longer than twice its width. find the length and width of the wall of the barn.

A = l x w
l = 1212 + 2w 
110,110 = (1212 + 2w)w


Use quadratic formula: 
You don't need the negative value of the quadratic formula since it's asking for area.
Plug in 80.228 into l = 1212 + 2w
l = 1212 + 2(80.228) = 1372.456
To double check, 1372.456 x 80.228 = 110,109.4 or about 110,110

So, width = 80.228 and length = 1372.456

Step-by-step explanation:

So we have:

And we want to find the quotient q(x). Thus:

Substitute:

Factor the numerator:

Substitute:

The (x+2)s cancel out. Therefore:

However, we must restrict x such that it cannot equal -2.

In the original equation, if it did, our answer would be undefined. Thus, our final answer is:

And we are done :)

Edit: Typo