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