Jambmaths question:
In the diagram above, PQ = 4cm and TS = 6cm, if the area of parallelogram PQTU is 32 cm2, Find the area of trapezium PQRU
Option A:
60cm2
Option B:
72cm2
Option C:
48cm2
Option D:
24cm2
Jamb Maths Solution:
$\begin{align} & \text{Area of parallelogram }=bh \\ & Area\text{ of }\parallel gm\text{ }PQUT=32c{{m}^{2}} \\ & 32c{{m}^{2}}=4\times h,\text{ }\Rightarrow h=8cm \\ & UR=4+6+4=14cm \\ & \text{Area of trapezium}=\tfrac{1}{2}(a+b)h \\ & {{A}_{trapezium}}=\tfrac{1}{2}(14+4)\times 8=72c{{m}^{2}} \\ \end{align}$
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