If the perimeter of \(\bigtriangleup\)PQR in thr diagram is 24cm, what is the area of \(\bigtriangleup\)PRS?
Attached Figure / Diagram
A
19.5cm2
B
15.0cm2
C
13.0cm2
D
9.3cm2
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Perimeter of \(\bigtriangleup\) PQR = PQ + QR + PR
24cm = 6cm + 8cm = PR
24 = 14 + PR
PR = 24 - 14 = 10cm
Area of \(\bigtriangleup\) PRS = \(\frac{1}{2} \times 10 \times 3cm^3\)
= 15cm3
Source: Myschool Past Questions Archive (Record #36421)