The organic garden at a restaurant is rectangular in shape and has a perimeter of 84 feet. If the length l of the garden is 24 feet longer than the width w of the garden, what is the area of the garden, in square feet?

Area = 297 square feet

Step-by-step explanation:

Let L = length of the rectangle

Let W = width of the rectangle

L = W + 24

perimeter of the rectangle = 84 ft

Perimeter = 2 (L+W)

= 2L + 2W

Put L = W + 24 into formula for perimeter

84 = 2 (W+24) + 2W

84 = 2W + 48 + 2W

84 = 4W + 48

84 - 48 = 4W

36 = 4W

W = 36/4

W = 9 ft

Put W = 9 ft into L = W + 24

L = 9 + 24

L = 33 ft

Area of a rectangle = L*B

Area = 33*9

= 297 square feet