Question

The area of a rectangular garden is 308 square meters. The width is 3 meters longer than ​one-half of the length. Find the length and the width of the garden.

Answer 1

Length (L): L

width (w): 1/2L + 3

Area (A) = L x w

      308 = (L)(1/2L + 3)

      308 = (1/2)L² + 3L

      616 = L² + 6L

        0 = L² + 6L - 616

        0 = (L - 22)(L + 28)

0 = (L - 22)            0 = (L + 28)

  L = 22                   L = -28

Since length cannot be negative, disregard the -28

L = 22

width (w): 1/2L + 3   = 1/2(22) + 3   = 11 + 3   = 14

Answer: width = 14 meters, length = 22 meters