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In the diagram, WXYZ is a rectangle with diamension 8cm by 6cm. P, Q, R...

Mathematics
WAEC 2018

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\(^2\)
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Correct Answer: Option B
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\(^2\)


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