Question

Please help me or I'm gonna fail math​

Answer 1

length = x+6

width = x-6

Explanation:

The area of rectangle is:

`\displaystyle \large{ A= l * w}`

where A is area, l is length and w is width.

We know the area of this rectangle or table since we are given A = x^2-36.

First, substitute A = x^2-36 in.

`\displaystyle \large{ {x}^(2) - 36 = lw}`

Then we factor x^2-36, use the difference of two squares:

`\displaystyle \large{ (x + 6)(x - 6) = lw}`

Compare the terms.

First, we have to understand that length is always longer or greater or have more values than width.

Hence length cannot be x-6 and width cannot be x+6 either.

Thus:

`\displaystyle \large{length = x + 6} \\ \displaystyle \large{width = x - 6}`