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In the diagram, PRST is a square. If |PQ| = 24cm. |QR| = 10cm and...

Mathematics
WAEC 2013

In the diagram, PRST is a square. If |PQ| = 24cm. |QR| = 10cm and < PQR = 90o, find the perimeter of the polygon PQRST.

  • A. 112cm
  • B. 98cm
  • C. 86cm
  • D. 84cm
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Correct Answer: Option A
Explanation

< PQR is a right-angled triangle

PR\(^2\) = 24\(^2\) + 10\(^2\)  = 676

PR = \(\sqrt{676}\) = 26cm

PQRTS is a square and PR = 26cm. meaning the remaining sides of the square are 26cm each 

Therefore, the perimeter of PQRST = 26 + 26 + 26 + 24 + 10 = 112cm

 


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