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Sagot :

Answer:

253.585 square inches

Explanation:

The figure can be decomposed into 2 rectangles and a quarter circle.

Area of the figure = area of rectangle 1 + area of rectangle 2 + area of ¼(circle)

✔️Area of rectangle 1 = Length × width

Length = 10 in

Width = 6 in

Area of rectangle 1 = 10*6 = 60 in²

✔️Area of rectangle 2 = Length × width

Length = 10 in

Width = 6 + 7 = 13 in

Area of rectangle 2 = 10*13 = 130 in²

✔️Area of ¼(circle) = ¼(πr²)

r = 9 in

π = 3.14

Area of ¼(circle) = ¼(3.14*9²) = 63.585 in²

✅Area of the figure = 60 + 130 + 63.585 = 253.585 square inches

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