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In the figure, PQST is a parallelogram and TSR is a straight line. If the...

Mathematics
JAMB 1998

In the figure, PQST is a parallelogram and TSR is a straight line. If the area of \(\bigtriangleup\)QRS is 20cm2, find the area of the trapezium PQRT.

  • A. 35cm2
  • B. 65cm2
  • C. 70cm2
  • D. 140cm2
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Correct Answer: Option C
Explanation

A\(\bigtriangleup\) = \(\frac{1}{2}\) x 8 x h = 20

= \(\frac{1}{2}\) x 8 x h = 4h

h = \(\frac{20}{4}\) = 5cm

A\(\bigtriangleup\)(PQTS) = L x H

A\(\bigtriangleup\)PQRT = A\(\bigtriangleup\)QSR + A\(\bigtriangleup\)PQTS

20 + 50 = 70cm\(^2\)

ALTERNATIVE METHOD

A\(\bigtriangleup\)PQRT = \(\frac{1}{2}\) x 5 x 28

= 70cm\(^2\)


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