A square flower bed that is 7 ft long is surrounded by a square lawn that is 17 ft long.
What is the area covered by the lawn?

Question

A square flower bed that is 7 ft long is surrounded by a square lawn that is 17 ft long. What is the area covered by the lawn? $$ 260 \mathrm{ft}^{2} $$

UpStudy AI · Accepted Answer

Let the area of the square lawn be the area of the outer square and the area of the flower bed be the area of the inner square. The lawn (the grassy part excluding the flower bed) is the area of the outer square minus the area of the inner square.

1. The side length of the outer square (lawn) is $$17$$ ft, so its area is  
   $$
   17^2 = 289 \, \text{ft}^2.
   $$

2. The side length of the inner square (flower bed) is $$7$$ ft, so its area is  
   $$
   7^2 = 49 \, \text{ft}^2.
   $$

3. The area covered by just the lawn is the difference:  
   $$
   289 - 49 = 240 \, \text{ft}^2.
   $$

Thus, the correct area covered by the lawn is $$240 \, \text{ft}^2$$, not $$260 \, \text{ft}^2$$.
The area covered by the lawn is $$240 \, \text{ft}^2$$.

A square flower bed that is 7 ft long is surrounded by a square lawn that is 17 ft long.
What is the area covered by the lawn?

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