In the diagram, PRST is a square. If |PQ| = 24cm. |QR| = 10cm and < PQR = 90o, find the perimeter of the polygon PQRST.
-
112cm
- 98cm
- 86cm
- 84cm
The correct answer is: 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