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MATHEMATICS

JAMB 2004 - Question 27

Mathematics 2004 JAMB Past Questions - Question 27: In the diagram above PQ =4cm and TS =6cm. If the area of parallelogram PQTU is 32cm. find the area of the trapezium PQRU

Choose the most appropriate option for the gap .

In the diagram above PQ =4cm and TS =6cm. If the area of parallelogram PQTU is 32cm. find the area of the trapezium PQRU

A: 24cm

B: 48cm

C: 60cm

D: 72cm

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Correct Answer

Explanation

Parallelogram = b x h; b x h = 32 since b = 4cm 4 x h = 32 → h = 8 ; Trapezium = ½ L(a + b) Base of trapezium = (4 + 6 + 4)cm = 14cm=½ x 8/1 (4 + 14) = 4(18) = 72cm²