In the figure, find the area of XYZW
Attached Figure / Diagram
A
60cm2
B
54cm2
C
27cm2
D
54\(\sqrt{2}\)cm2
E
27\(\sqrt{2}\)cm2
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Area of trapezium XYZW = \(\frac{1}{2}\)(a + b)h
h = 6 sin 30º = 3
area = \(\frac{1}{2}\)(10 + 8) x 3
\(\frac{1}{2}\)(18) x 4
= 27cm\(^2\)
Source: Myschool Past Questions Archive (Record #32754)