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JAMB Mathematics 1985 Question 42

Question 42

Mensuration of Plane Shapes

PQRS is a trapezium of area 14cm2 in which PQ∥RS. If PQ = 4cm and SR = 3cm, find the area of ΔSQR in cm2.

  1. A.7.0
  2. B.6.0
  3. C.5.2
  4. D.5.0
  5. E.4.1.
Show the answer and explanation

Answer: B (6.0)

Explanation

½(4 + 3)h = 14 gives h = 4cm. Triangle SQR has base SR = 3cm and the same height: ½ × 3 × 4 = 6.0cm².