In the diagram MN PQ LM 3cm and LP 4cm If the a... - WAEC Mathematics 2001 Question
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 option: b
Using similar triangles
\(\frac{3}{16}=\frac{4}{x}\
x = \frac{18\times4}{3}=24cm^2\)
∴Area of quadrilateral MPQN
\(=24cm^2 - 18cm^2 = 6cm^2\)
\(\frac{3}{16}=\frac{4}{x}\
x = \frac{18\times4}{3}=24cm^2\)
∴Area of quadrilateral MPQN
\(=24cm^2 - 18cm^2 = 6cm^2\)
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