In the diagram, MN||PQ, |LM| = 3cm and |LP| = 4cm. If the area of ∆LMN is 18cm2, find the area of the quadrilateral MPQN
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Correct Answer: Option B
Explanation:
Using similar triangles
\(\frac{3}{16}=\frac{4}{x}\\
x = \frac{18\times4}{3}=24cm^2\)
∴Area of quadrilateral MPQN
\(=24cm^2 - 18cm^2 = 6cm^2\)
Using similar triangles
\(\frac{3}{16}=\frac{4}{x}\\
x = \frac{18\times4}{3}=24cm^2\)
∴Area of quadrilateral MPQN
\(=24cm^2 - 18cm^2 = 6cm^2\)