Problema Solution

The length of a rectangle is 6 inches more than its width. The area of the rectangle is 91 square inches. Find the dimensions of the rectangle.

Answer provided by our tutors

let w = width of the rectangle, since w(6+w) = 91 ==> 6w+w^2 = 91 ==> w^2+6w-91 = 0 ==> (w+13)(w-7) = 0 , only w = 7 is applicable,  hence, w is 7, and to make 91, another width is 13   so 7 and 13