Question

If the perimeter of a rectangle is 140 meters and the length is 5 meters less than 4 times the width, then what are the dimensions of the rectangle

Answer 1

Length (L): 4w - 5

width (w): w

Perimeter (P) = 2L + 2w

              140 = 2(4w - 5) + 2(w)

              140 = 8w - 10 + 2w

              140 = 10w - 10

               150 = 10w

                15 = w

Length (L): 4w - 5   = 4(15) - 5   = 60 - 5   = 55

Answer: width= 15meters, length=55 meters