WAEC Mathematics 2018 Question 31

Question 31

Mensuration of Plane Shapes

In the diagram, WXYZ is a rectangle with dimension 8 cm by 6 cm. P, Q, R and S are the midpoints of the sides of the rectangle as shown. Calculate the area of the part of the rectangle that is not shaded.

Diagram for this question
  1. A.25 cm2
  2. B.24 cm2
  3. C.16 cm2
  4. D.12 cm2
Show the answer and explanation

Answer: B (24 cm2)

Explanation

The four corner triangles each have area ½ × 4 × 3 = 6 cm², so the unshaded part is 24 cm² (half of 48).