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

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

step-by-step explanation: