Question 4

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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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