Question

The rectangle below has an area of x^2+13x+36x 2 +13x+36x, squared, plus, 13, x, plus, 36 square meters and a length of x+9x+9x, plus, 9 meters. What expression represents the width of the rectangle?

Answer 1

width=x+4

Explanation:

area=x²+13x+36

=x²+4x+9x+36

=x(x+4)+9(x+4)

=(x+4)(x+9)

length=x+9

width =area/length

`width=(x^2+13x+36)/(x+9) \\=((x+4)(x+9))/((x+9))\\=x+4`

Answer 2

x+4

Explanation:

The quadratic x^2 +13x +36 can be factored as ...

x^2 +13x +36 = (x +9)(x +4)

If the quadratic represents the product of length and width, and the length is represented by x+9, then the width is represented by x+4.