In the diagram WXYZ is a rectangle with dimension 8 cm by 6 cm. P, Q, R and S are the midpoint s of the sides of the rectangle as shown.
Calculate the area of the part of the rectangle that is not shaded
A: 25 cm2
B: 24 cm2
C: 16 cm2
Line WX = ZY = 8cm
Line WZ = XY = 6cm
Since Line SQ cuts across the middle of line WZ and XY, Line WS = SZ = XQ = QY = 3cm
Also, Line PR cuts across the middle of Line WX and ZY, thus, Line WP = PX = ZR = RY = 4cm.
There are 4 section of the un-shaded region with each forming a right angle triangle of same dimensions.
Therefore, the area of the un-shaded portions will simply be 4 times the area of a triangle. That is:
4(1/2 x base x height)
= 4(1/2 x 4 x 3)
= 4 (6)