find the area of the figure type an exact answee simplify yo

find the area of the figure. (type an exact answee. simplify your answee, including any radicals. use integers or fractions for any numbers in the expression. do not factor. rationalize all denominators)

HW Score: 94.44%, Questio 12 60° 45° 18+6v3 ny numbers in the expression. Do not factor Rational

Solution

the area of trapezium = 0.5*(a + b)*h

a = 12

b = 18 + 6*sqrt(3)

h = 12*sin60

Then Area = A = 0.5 x [12 + (18 + 6sqrt(3))] x 12sin60 = 209.88