WAEC - Mathematics (2001 - No. 41)
In the diagram, MN||PQ, |LM| = 3cm and |LP| = 4cm. If the area of ∆LMN is 18cm2, find the area of the quadrilateral MPQN
3cm2
6cm2
14cm2
24cm2
Explanation
\(\frac{LM}{LP} = \frac{3}{4}\)
\(\frac{Area of LMN}{Area of LPQ} = \frac{3^2}{4^2}\)
Area of LPQ = \(\frac{16}{9}\times 18 = 32 cm^2\)
Area of quadrilateral MPQN = 32 – 18 = \(14 cm^2\)
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