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Naya [18.7K]
3 years ago
12

Find the area of each figure. Round to the nearest tenth if necessary

Mathematics
1 answer:
KatRina [158]3 years ago
3 0

Answer:

c. 952.4 in²

Step-by-step explanation:

The figure can be decomposed into a square, a trapezoid and a semicircle

Find the area of each to determine the area of the figure.

✔️Area of square = s²

s = 13 in

Area of square = 13² = 169 in²

✔️Area of trapezoid = ½(a + b)h

a = 13 in

b = 30 in

h = 20 in

Area of trapezoid = ½(13 + 30)20

= 430 in²

✔️Area of semicircle = ½(πr²)

r = ½(30) = 15 in

Area = ½(π*15²)

Area ≈ 353.4 in²

✅Area of the figure = 169 + 430 + 353.4

= 952.4 in²

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