Question

The length of a rectangular garden is 8 feet longer than its width. If the garden's perimeter is 188 feet, what is the area of the garden in square feet?

Answer 1

Answer: The area is 2,193 square feet (2,193 ft²)

Explanation:The rectangular garden has its sides yet unknown but what we do know is that its length is 8 feet longer than its width. If therefore the width is W, then the length would be W + 8.

The perimeter is calculated as follows;

Perimeter = 2(L + W)

We can now substitute for the values given as follows;

188 = 2(W + 8 + W)

188 = 2(2W + 8)

188 = 4W + 16

Subtract 16 from both sides of the equation

172 = 4W

Divide both sides of the equation by 4

43 = W

If the width is 43, and the length is W + 8, then length equals 43 + 8 which gives us 51

Therefore the area is calculated as follows;

Area = L x W

Area = 51 x 43

Area = 2193

The area of the rectangular garden is 2,193 square feet