In the diagram, PRST is a square. If |PQ| = 24cm. |QR| = 10cm and < PQR = 90o, find the perimeter of the polygon PQRST.
Attached Figure / Diagram
A
112cm
B
98cm
C
86cm
D
84cm
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
< 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
Source: Myschool Past Questions Archive (Record #36917)