Question 11

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waecmaths question: 

In the diagram PQUV, PQTU, QRTU and QRST are parallelograms. $\left| UV \right|=4.8cm$ and the perpendicular distance between PR and VS is 5cm. Calculate the area of quadrilateral PRSV 

Option A: 

96cm2

Option B: 

72cm2

Option C: 

60cm2

Option D: 

24cm2

waecmaths solution: 

$\begin{align}  & PQ=QR=4.8cm \\ & PR=9.6cm \\ & VU=UT=TS=4.8cm \\ & VS=3(4.8cm)=14.4cm \\ & Area=\tfrac{1}{2}(VS+PR)h=\tfrac{1}{2}(14.4+9.6)5c{{m}^{2}}=60c{{m}^{2}} \\\end{align}$

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