passpadi

2004

Mathematics

67ca00ce0c643c71d77dee1f

In the diagram above, PQ = 4 cm and TS = 6 cm. If the area of parallelogram PQTU is 32 cm 2, find the area of the trapezium PQRU

A.

60 cm2

B.

72 cm2

C.

48 cm2

D.

24 cm2

Correct Answer: 72 cm2

Explanation

Area of parallelogram PQTU = base * height 32 = 4 * h w = 32/4 w = 8 ∴ = Area of Trapezium PQRU = (1/2)(4 + 14) *8 = 1/2 * (18 * 8) = 72 cm2

Area of parallelogram PQTU = base * height 32 = 4 * h w = 32/4 w = 8 ∴ = Area of Trapezium PQRU = (1/2)(4 + 14) *8 = 1/2 * (18 * 8) = 72 cm2
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