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Question

What is the area of the rhombus ABCD below, if AC=12cm and BE= 16cm.


  1. 384 cm2

  2. 192 cm2

  3. 48 cm2

  4. 96 cm2


Solution

The correct option is B

192 cm2


The diagonals of a rhombus bisect each other. Therefore in the above figure:

BE=DE

BD=2×BE

BD=2×16=32cm

Area of a rhombus = half of the product of length of the two diagonals.

Area=12×AC×BD

Area=12×12×32=192cm2.

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