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

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

A.

25cm\(^2\)

B.

24cm\(^2\)

C.

16cm\(^2\)

D.

12cm\(^2\)

Correct answer is B

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\(^2\)