In the diagram, WXYZ is a rectangle with diamension 8cm by 6cm. P, Q, R and S are the midpoints of the rectangle as shown. Using this information calculate the area of the part of the rectangle that is not shaded
Attached Figure / Diagram
A
25cm\(^2\)
B
24cm\(^2\)
C
16cm\(^2\)
D
12cm\(^2\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Area of shaded part = 2 x area of \(\bigtriangleup\)SPQ
= 2 x \(\frac{1}{2}\) 8 x 3 =24cm
Hence, area of the unshaded part of the rectangle = area of rectangle - area of shaded part
= 8 x 6 - 24
= 48 - 24
= 24 cm\(^2\)
Source: Myschool Past Questions Archive (Record #49520)