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If the perimeter of \(\bigtriangleup\)PQR in thr diagram is 24cm, what is the area of...

Mathematics
WAEC 2008

If the perimeter of \(\bigtriangleup\)PQR in thr diagram is 24cm, what is the area of \(\bigtriangleup\)PRS?
  • A. 19.5cm2
  • B. 15.0cm2
  • C. 13.0cm2
  • D. 9.3cm2
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Correct Answer: Option B
Explanation
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

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