asked 82.2k views
1 vote
Hassan built a fence around a square yard. It took 500500500 feet^2 2 start superscript, 2, end superscript of lumber to build the fence. The fence is 555 feet tall.

What is the area of the yard inside the fence?

2 Answers

6 votes

Answer:

The answer is 625 ft^2

Explanation:

answered
User Laura Ritchey
by
7.8k points
6 votes
The length of the fence is its area divided by its height:
fence length = (500 ft²)/(5 ft) = 100 ft

Since the yard is square, it has 4 equal-length sides. Each side of the yard is bounded by 1/4 of the total fence length, or 25 ft.

The area of the yard is the square of its side length, (25 ft)² = 625 ft².
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