Answer:
253.585 square inches
Step-by-step 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