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Question

A parallelogram has sides 6 cm and 4 cm and one of its diagonals is 8 cm then its area is:-

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Solution

Diagonals of a parallelogram divide the parallelogram into two parts of equal area.

So, we can say that,
Area of parallelogram =2× Area of ABC

Now, we will use herons formula to calculate the area of ABC,
s=a+b+c2
=6+4+82
=182
=9 cm

ar(ABC)=9(96)(94)(98)
=9×3×5×1
=315 cm2

So, area of parallelogram = 2×315
=615cm2.

1215836_1282040_ans_dac2ace60a5f47349091b5575038bc6c.PNG

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