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Question

In parallelogram ABCD, AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram ABCD.



A

96 cm2

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B

126 cm2

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C

112 cm2

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D

192 cm2

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Solution

The correct option is D

192 cm2


s = 20+12+162.
=24

Area of Δ ABC =s(sa)(sb)(sc)

Δ=24(2420)(2412)(2416).
=96 cm2

Area of parallelogram = 2 × ΔABC

= 2 × 96

= 192 cm2


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