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In the figure, find the area of XYZW

In the figure, find the area of XYZW

  • A.
    60cm2
  • B.
    54cm2
  • C.
    27cm2
  • D.
    54(sqrt{2})cm2
  • E.
    27(sqrt{2})cm2
Correct Answer: Option C
Explanation

Average of trapezium XYZW = (frac{1}{2})(a + b)h from rt < YDZ,
h = 6 sin 30o
area = (frac{1}{2})(10 + 8)3
= 6 x (frac{1}{2}) = 3
(frac{1}{2})(18) x 3
= 27cm2