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Question

ABCD is a rectangle with O as any point in its interior. If ar(AOD)=3cm2 and  ar(BOC)=6cm2, then area of rectangle ABCD is
 



A

9cm2

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B

12cm2
 

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C

15cm2
 

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D

18cm2
 

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Solution

The correct option is C

18cm2
 


In rectangle ABCD, O is any point. Also, ar(AOD)=3cm2and ar(BOC)=6cm2
Join OA, OB, OC and OD

We know tht if O is any point in ABCDthenar(AOB)+ar(COD)=ar(AOD)+ar(BOC)
=3+6=9 cm2

ar(rect. ABCD) =2×9=18 cm2
 


Mathematics
RD Sharma
Standard IX

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