The length of a rectangle is 5 centimeters more than its width. if the width is increased by 2 centimeters and the length is increased by 3 centimeters, a new rectangle is formed that has an area of 46 square centimeters more than the area of the original rectangle. find the dimensions of the original rectangle.

Length (L): w + 5             ⇒(w + 5) + 3  = w + 8

width (w): w                     ⇒ (w) + 2  = w + 2

Area (A) = L x w

         A = (w + 5)w

         A = w² + 5w

  A + 46 = (w + 8)(w + 2)

(w² + 5w) + 46 = w² + 10w + 16

      5w + 46 =  10w + 16

                46 = 5w + 16

                30 = 5w

                  6 = w

Length (L): w + 5   = (6) + 5   = 11

width = 6 cm, length = 11 cm

10 * 563.67 = 5636.7