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.

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