Question

ABCD is a parallelogram and X is the mid-point of AB. If ar(ADC)=24 cm2, then find ar(AXCD). (2)

Answer 1

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Answer 2

Answer:-

The statement is false.

Explaination:-

In ΔABC, X is midpoint of AB

Considering the given question,

Hence ar(ΔAXC) = ar(ΔBXC) = ½ ar(ΔABC)

Therefore,

ar(ΔAXC) = ar(ΔBXC) = 12 cm2

Area of ||gm ABCD = 2 x ar(ΔABC)

= 2 x 24 = 48 cm²

But, according to the question,

Area of ||gm ABCD = ar(AXCD) + ar(ΔBXC)

= 24 + 12 = 36 cm²

Hence, we find a contradiction here.

So, If ar (AXCD) = 24 cm2, then ar (ABC) ≠ 24 cm²