The length of diagonals of parallelogram are 4 cm and 6 cm. Find out the perimeter of Parallelogram which is formed when the mid points of adjacent sides are joined.
A
5 cm
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B
10 cm
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C
15 cm
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D
20 cm
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Solution
The correct option is B10 cm In △ABC P and Q are mid points of sides AB and BC respectively so by mid point theorem we know PQ=12AC,
Similarly, in △ADC RS=12AC
And similarly in △BDC&△BDA, PS=RQ=12BD
So, PQ+RS=12AC+12AC PQ+RS=AC
and PS+RQ=BD
So, perimeter=PQ+RQ+RS+PS perimeter=AC+BD perimeter=6+4 perimeter=10 cm