Answer:
150 square feet
Explanation:
Step 1
Find the Length and Width of the backyard
The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet.
Perimeter = 2L + 2W
L = Length, W = Width
L = 5 + W
Hence:
50 = 2(5 + W) + 2W
50 = 10 + 2W + 2W
Collect like terms
50 - 10 = 4W
40 = 4W
W = 40/4
W = 10 feet
We find L
L = 5 + W
L = 5 + 10 feet
L = 15 feet
Step 2
What is the area of the backyard?
Area of a rectangle = Length × Width
Area of the rectangular backyard = 15 feet × 10 feet
= 150 square feet