Finding unknown integers in a story problem (factoring)

Question

The dimensions of a rectangular photograph are odd consecutive integers. The area of the photograph is  square inches. Find the lengths of each side.

The sides are   and inches long.

Answer 1

x(x+2) = x^2 +2x = 143

x^2 + 2x + 1 = 143 + 1

(x+1)^2 = 144

x+1 = 12

x = 11

x+2 = 13

11 times 13 = 143

the two sides are 11 inches by 13 inches