The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. If the length of the garden is 24ft longer than the width of the garden, what is the area of the garden in square ft? A) 9 B) 33 C) 84 D) 297

Answer: the area of the garden is 297 ft^2

Step-by-step explanation:

The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. This means that the total distance around the restaurant is 84ft.

Perimeter of a rectangle is expressed as 2 (L + W)

L = length of the rectangle

W = width of rectangle.

Since the perimeter is 84ft

2 (L + W) = 84

If the length of the garden is 24ft longer than the width of the garden, this means that

L = W + 24

Therefore

2 (W + 24 + W) = 84

2 (2W + 24) = 84

4W + 48 = 84

4W = 84 - 48 = 36

W = 36/4 = 9

L = W + 24 = 9+24

L = 33 feet

Area if a rectangle is expressed as

Area = L * W

Area = 33 * 9 = 297 ft^2