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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