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svetoff [14.1K]

3 years ago

5

The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet.

What is the area of the backyard?

1 answer:

Arte-miy333 [17]3 years ago

3 0

Answer:

150 square feet

Step-by-step 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

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