Question

The dimensions of a rectangle can be given by x+7 and x+2. If the area of the area of the rectangle is 66 square inches, what are the dimensions of the rectangle?

Answer 1

(x+7)(x+2)=66
x²+9x+14=66
x²+9x-52=0
(x-4)(x+13)=0
x=4 or x=-13
x cannot be negative, so the only answer is x=4

the length is 11 and the width is 6