In the diagram, MN||PQ, |LM| = 3cm and |LP| = 4cm. If the area of ∆LMN is 18cm2, find the area of the quadrilateral MPQN
A.
3cm2
B.
6cm2
C.
14cm2
D.
24cm2
Correct answer is C
\(\frac{LM}{LP} = \frac{3}{4}\)
\(\frac{Area of LMN}{Area of LPQ} = \frac{3^2}{4^2}\)
Area of LPQ = \(\frac{16}{9}\times 18 = 32 cm^2\)
Area of quadrilateral MPQN = 32 – 18 = \(14 cm^2\)