A rectangular yard measuring 36 ft by 55 ft is bordered (and surrounded) by a fence. Inside, a walk that is 4 ft wide goes all t
he way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.
1 answer:
Answer:
664 ft²
Step-by-step explanation:
The rectangular yard has dimensions 36 ft by 55 ft.
The area of the yard is 36 ft × 55 ft = 1980 ft²
The walkway inside the fence is 4 ft wide. The area inside the walkway has dimensions
36 ft - 2 × 4 ft = 28 ft
55 ft - 2 × 4 ft = 47 ft
The area of the rectangle inside the walkway is 28 ft × 47 ft = 1316 ft²
The area of the walkway is the difference between the total area enclosed by the fence and the rectangle inside the walkway.
area of walkway = 1980 ft² - 1316 ft² = 664 ft²
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