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