waecmaths question:
In the diagram PRST is a square. If $\left| PQ \right|=24cm,\text{ }\left| QR \right|=10cm\text{ and }\angle PQR={{90}^{\circ }}$ , find the perimeter of the polygon PQRST
Option A:
112cm
Option B:
98cm
Option C:
86cm
Option D:
84cm
waecmaths solution:
$\begin{align} & PR=\sqrt{{{24}^{2}}+{{10}^{2}}}=\sqrt{576+100}=\sqrt{676} \\ & PR=26cm \\ & \text{Perimeter of }PQRST=\left| PQ \right|+\left| QR \right|+\left| RS \right|+\left| ST \right|+\left| TP \right| \\ & \text{Perimeter of }PQRST=(24+10+26+26+26)cm \\ & \text{Perimeter of }PQRST=112cm \\\end{align}$
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