Explain your reasoning.

Hi Kiomye,

Let the area of the rectangle be A. Then, A = x^2 + 7x + 12

A = (x+3)(x+4) The factors are the dimensions of the rectangle.

Now, if we increase the dimensions by 3 meters, the new dimensions will be

(x+3+3) = (x+6) m and (x+4+3) = (x+7) m

The area of this rectangle, which I will call A2 will be

A2 = (x+6)(x+7)

= x^2 + 13x + 42 square meters