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In the figure, PQ\\SR, ST\\, ST\\RQ, PS = 7cm, PT = 7cm, SR = 4cm....

Mathematics
JAMB 1980
In the figure, PQ\\SR, ST\\, ST\\RQ, PS = 7cm, PT = 7cm, SR = 4cm. Find the ratio of the area QRST to the area of PQRS.
  • A. 56.77
  • B. 56.105
  • C. 28:105
  • D. 28:49
  • E. 56:49
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Correct Answer: Option B
Explanation
Area of QRST = 4 x 7 = 28

Area of PQRS = \(\frac{1}{2}\)(4 + 11) x 7

= \(\frac{7}{2}\) x \(\frac{15}{1}\)

= 28:52.5

= 56:105
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