Area of a triangle = (h × b) ÷ 2, where h is height and b is the base.
7.1 × 28 = 198.8
198.8 ÷ 2 = 99.4
The area of this triangle is 99.4 yd²
Complete Question
The complete question is shown on the first uploaded image
Answer:
1
![A_1 = 67.58 \ in^2](https://tex.z-dn.net/?f=A_1%20%20%3D%20%2067.58%20%5C%20in%5E2)
2
![A_2 =415.4 \ ft^2](https://tex.z-dn.net/?f=A_2%20%3D415.4%20%5C%20ft%5E2)
3
![A_3 = 8.48 \ cm^2](https://tex.z-dn.net/?f=A_3%20%20%3D%20%208.48%20%5C%20cm%5E2)
4
![A_4 = 480.38 \ m^2](https://tex.z-dn.net/?f=A_4%20%3D%20%20480.38%20%5C%20m%5E2)
Step-by-step explanation:
Generally the area of a sector is mathematically represented as
![A = \frac{\theta}{360} * \pi r^2](https://tex.z-dn.net/?f=A%20%3D%20%20%5Cfrac%7B%5Ctheta%7D%7B360%7D%20%2A%20%5Cpi%20r%5E2)
Now at
and ![\theta_1 = 64^o](https://tex.z-dn.net/?f=%5Ctheta_1%20%3D%20%2064%5Eo)
![A_1 = \frac{64}{360} * 3.142 * 11^2](https://tex.z-dn.net/?f=A_1%20%3D%20%20%5Cfrac%7B64%7D%7B360%7D%20%2A%203.142%20%20%2A%2011%5E2)
![A_1 = 67.58 \ in^2](https://tex.z-dn.net/?f=A_1%20%20%3D%20%2067.58%20%5C%20in%5E2)
Now at
in and ![\theta_2 = 119 ^o](https://tex.z-dn.net/?f=%5Ctheta_2%20%20%3D%20%20119%20%5Eo)
![A_2 = \frac{119}{360} * 3.142 * 20^2](https://tex.z-dn.net/?f=A_2%20%3D%20%20%5Cfrac%7B119%7D%7B360%7D%20%2A%203.142%20%2A%20%2020%5E2)
![A_2 =415.4 \ ft^2](https://tex.z-dn.net/?f=A_2%20%3D415.4%20%5C%20ft%5E2)
Now at
and ![\theta_3 = 23 ^o](https://tex.z-dn.net/?f=%5Ctheta_3%20%3D%20%2023%20%5Eo)
![A_3 = \frac{23}{360} * 3.142 * 6.5 ^2](https://tex.z-dn.net/?f=A_3%20%20%3D%20%20%5Cfrac%7B23%7D%7B360%7D%20%2A%203.142%20%2A%20%206.5%20%5E2)
![A_3 = 8.48 \ cm^2](https://tex.z-dn.net/?f=A_3%20%20%3D%20%208.48%20%5C%20cm%5E2)
Now at
and ![\theta_4 = 360 -87 = 273 ^o](https://tex.z-dn.net/?f=%5Ctheta_4%20%3D%20360%20-87%20%3D%20%20273%20%5Eo)
![A_4 = \frac{273}{360} * 3.142 * 14.2^2](https://tex.z-dn.net/?f=A_4%20%3D%20%20%5Cfrac%7B273%7D%7B360%7D%20%20%2A%203.142%20%2A%2014.2%5E2)
![A_4 = 480.38 \ m^2](https://tex.z-dn.net/?f=A_4%20%3D%20%20480.38%20%5C%20m%5E2)
Answer:
I think the answer is 6 cause if you do 54+6=60
momo
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