Question

To find the area, A of a rectangle you multiply the rectangle’s length, l by its width, w. What is the width of a rectangle with the following dimensions:

A= X^2 +7x +10
l = (x +2)

Answer 1

w = x + 5

Explanation:

The formula for Area is A = l * w

L = x + 2

w = ???

Area = x^2 + 7x + 10

The area can be factored

x^2 + 7x + 10 = (x + 2)(x + 5)

So now you can write the formula as

(x + 2) * w = (x + 2)(x + 5) Divide both sides by x + 2

w =( (x + 2)(x + 5) )/(x + 2)

The two (x + 2)'s cancel

w = x + 5