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Find the area of the compound figure. Round your answer to 2 decimal places if required. (Use π = 3.14)

Hello! I’ve been stuck on this problem for a while and—though I know the answer—I’m not sure how to get to it? Please help!

Find the area of the compound figure. Round your answer to 2 decimal places if required. (Use π = 3.14) Hello! I’ve been stuck on this problem for a while and—t class=

Answer :

Hawwa

Answer:

first you will need to break the shape into a semi circle and a triangle.

then solve the area of the semi circle. which is

[tex] \frac{(3.14) \times r ^{2} }{2} \\ [/tex]

[tex] \frac{(3.14) \times 4.6^{2} }{2} \\ = 33.22[/tex]

Then solve the area of the triangle.

First work out the height of the triangle, which is

[tex]13.4 - 4.6 = 8.8[/tex]

then the area. which is

[tex] \frac{1}{2} 4.6 \times 8.8 \\ = 20.24[/tex]

now calc. the two figures. which is

[tex]20.24 + 33.22 \\ = 53.46[/tex]

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