Question

What is the area of this figure?

Answer 1

`220.5 \: {yd}^(2)`

Explanation:

Area of the figure = Area of the arc with radius 10 yd and central angle 90° + Area of rectangle with dimensions (10 + 5 - 3 = 12) 12 yd and (7 + 6 - 4 = 9) 9 yd + Area of square with dimension 4yd + Area of rectangle with dimensions 3 yd by 2 yd + Area of triangle with base 3 yd and height (5 + 3 = 8) 8 yd.

`= (90 \degree)/(360 \degree) * 3.14 {(10)}^(2) + 12 * 9 + {4}^(2) \\ + 3 * 2 + (1)/(2) * 3 * 8 \\ \\ = (1)/(4) * 314 + 108 + 16 + 6 + 12 \\ \\ = 78.5 + 142 \\ \\ = 220.5 \: {yd}^(2)`