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Question

In the rectangle ABCD, O is any point inside the rectangle. If area( ΔAOD) = 30 cm2 and area( ΔBOC) = 60 cm2, area of the rectangle ABCD is ___ cm2.

         


Solution

        

Draw a line through O  parallel to ADas shown.

Parallelogram APQD and triangle AOD are on same base AD and between same parallels.

So, Area of parallelogram APQD = 2 x Area of AOD 

Area of APQD = 60cm2 

Parallelogram PBCQ and triangle BOC are on same base BC and between same parallels.

So, Area parallelogram PBCQ = 2 x Area  BOC

Area of PBCQ = 120cm2

Area of ABCD =Area (APQD)+Area (PBCQ)=180cm2 


Mathematics

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