Question

The area of a rectangular back yard can be represented by x2 – 9x + 14 square meters. If the width of the yard is (x – 2) feet, what is the length?

Answer 1

(x-7)

Explanation:

Recall that the area of a rectangle A whose length is l an d width is w

= l * w

Given that the area is

= x2 – 9x + 14

Factorize

x2 – 9x + 14 = x2 – 7x - 2x + 14

= x(x - 7) -2(x - 7)

= (x - 2)(x - 7)

Given that the width of yard is (x – 2) then the length will be (x-7)