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Question

Two adjacent sides of a parallelogram are 51cm and 37cm. One of its diagonals is 20cm, then the its area is

A
412 cm2
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B
512 cm2
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C
612 cm2
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D
712 cm2
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Solution

The correct option is B 612 cm2
Area of parallelogram ABCD=arABD+arBDC
But arABD=arBDC
Area of parallelogram ABCD=2arABD
Now, arABD=s(sa)(sb)(sc),s=a+b+c2=51+20+372=54
arABD=54(5451)(5420)(5437)=54×3×34×17
=9×2×3×3×2×17×17=2×3×3×17=306
area of parallelogram ABCD=2×306=612

930617_244714_ans_07d41d6c6bf44c5383e1d7f52621bca2.png

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