Question

The length of a rectangular porch is (x+7)ft. The area of the porch is (x^2+9x+14)ft^2. Find the width of the porch.

Answer 1

\[\frac{x^2+9x+14}{x+7}=x+2\]

Answer 2

is that the answer

Answer 3

The area of a rectangle is length times width.

x^2 + 9x + 14 = (x+7) times width.

width = (x^2 + 9x + 14) /(x + 7)

I suspect that (x+7) is a factor of (x^2 + 9x + 14) and will see.

(x^2 + 9x + 14) = (x + 7)(x + 2)

[ (x + 7)(x + 2)] / (x + 7) = (x + 2)

The width of the porch is x + 2 .

Answer 4

* (x + 2) feet