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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 cm^{2}

B: 24 cm^{2}

C: 16 cm^{2}

D: 12cm^{2}

**Comments**

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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)

= 24cm^{2}

**Ans B**

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