Question

the rectangle below has an area of x^2 + 13x + 36x square meters and has a length of x+9 meters. what is the width

Answer 1

Width = (x + 4) meters

Explanation:

Hope this helps!

Answer 2

x+4 square meters

Explanation:

In general, when we have two expressions
`(x+a)` and
`(x+b)`:

`(x+a)(x+b)=x^2+(a+b)x+ab`

In words, the coefficent of the middle term is the sum of a and b, and the last term is the product of a and b. In our given expression:

`a+b=13\\ab=36`

Thankfully, we're already given one of these terms:
`a=9`. Solving for b in that first equation, we get

`9+b=13\\b=4`

9 × 4 is 36, so this result checks out! So, with a length of
`(x+9)` meters, our width must be
`(x+4)` meters.