Answer:
17.9 m²
Explanation:
The area of the deck is the difference between the area of the square and the area of the circular hot tub.
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square area
The area of the square is given by the formula ...
A = s² . . . . where s is the side length
For a side length of 5 m, the area is ...
A = (5 m)² = 25 m²
circle area
The area of a circle is found from the formula ...
A = (π/4)d² . . . . where d is the diameter
For a diameter of 3 m, the area is ...
A = (π/4)(3 m)² = 9/4π m² ≈ 7.069 m²
deck area
The area of the deck is the difference between the square area and the circle area:
deck area = 25 m² -7.069 m² ≈ 17.9 m²
The area of the deck surrounding the hot tub is about 17.9 m².