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Mama L [17]
2 years ago
7

What is the area of this figure?

Mathematics
1 answer:
Dima020 [189]2 years ago
4 0

Answer:

220.5 \:  {yd}^{2}

Step-by-step 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.

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

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