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Question

ABCD is a parallelogram with an area of 48 cm2. If AC is a diagonal of the parallelogram, what is the area of ACD ?

A
18 cm2
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B
24 cm2
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C
16 cm2
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D
8 cm2
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Solution

The correct option is C 24 cm2

We know that,
A diagonal divides a parallelogram into two congruent triangles.
Therefore, the area of each triangle is half the area of the parallelogram.

Given,
Area of parallelogram ABCD = 48 cm2
Therefore,
area of ACD = Area of Parallelogram2
area of ACD = 482=24 cm2

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