9514 1404 393
Answer:
51.63 m²
Explanation:
The relevant area formulas are ...
A = πr² . . . . . area of a full circle of radius r
A = LW . . . . area of a rectangle of length L and width W
A = 1/2bh . . . area of a triangle with base b and height h
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The figure area is the sum of the areas of 1/2 a circle of radius 3 m, a rectangle with base 6 m and height 5 m, and a triangle with base 3 m and height 5 m. Using the above formulas, we find the area to be ...
A = (1/2)(3.14)(3 m)² +(6 m)(5 m) + 1/2(3 m)(5 m)
A = (14.13 +30 +7.5) m² = 51.63 m²
The area of the figure is about 51.63 m².