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)
Explanation
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)