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Can you guys help me to figure out the area and explain to me pls

Can you guys help me to figure out the area and explain to me pls-example-1
User Consejo
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1 Answer

1 vote

Answer:

123.2

Explanation:

First find area of the square ABCD, then the triangle AMN.

Find CD:

sin30 = CD/20

CD = 20(sin30) = 10

CD = AD = 10

Find MD:

cos30 = MD/20

MD = 20(cos30) = 17.32

AM = MD - AD = 17.32 - 10 = 7.32

Area of ABCD = (10)(10) = 100

Find height of triangle AMN: AN

cos30 = AN/7.32

AN = cos30(7.32) = 6.34

Area of triangle ANM = 1/2(7.32(6.34) = 23.2

Total Area of the shape = 100 + 23.2 = 123.2

User Felix Weis
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6.9k points