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किसी सम-चतुर्भुज का परिमाप 20 cm हैं । विकर्ण की लम्बाई 8 cm है। क्षेत्रफल ज्ञात करें?

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किसी सम-चतुर्भुज का परिमाप 20 cm हैं । विकर्ण की लम्बाई 8 cm है। क्षेत्रफल ज्ञात करें?
A. 28 sq. cm
B. 20 sq. cm
C. 22 sq. cm
D. 24 sq. cm
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Correct Answer - D
समचतुर्भुज की भुजा `=20/4=5cm`
image
`OC=4cm`
In Right `Delta OBC`
`OB^(2)=BC^(2)=OC^(2)`
`=5^(2)-4^(2)=9`
`OB=sqrt(9)=3cm`
`BD=2xxOB=2xx3=6cm`
समचतुर्भुज का क्षेत्रफल
`=1/2xxACxxBD`
`=1/2xx8xx6=24cm^(2)`
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