A square shaped park abcd of side 100m has two equal rectangular flower beds each of size 10m×5m. Length of the boundary of the remaining park isA square shaped park abcd of side 100m has two equal rectangular flower beds each of size 10m×5m. Length of the boundary of the remaining park is

Dear Student,

Please find below the solution to the asked query:

We form our diagram , As :

Here two rectangular flower beds = EFGH and IJKL  (  We can show these flower beds anywhere as there is no information regarding position of these flower beds , That is our assumption )

So,

Length of  the boundary of the remaining park = AB + EF + FG + GH + BE  + HC + CD + LK + KJ + JI + DL + IA ,

Length of  the boundary of the remaining park = AB + EF + FG + GH + ( BC - HE ) + CD + LK + KJ + JI + ( AD - LI )

Substitute all given values we get

Length of  the boundary of the remaining park = 100 + 10 + 5 + 10 + ( 100 - 5 ) + 100 + 10 + 5 + 10 + ( 100 - 5 )

Length of  the boundary of the remaining park = 100 + 10 + 5 + 10 + 95 + 100 + 10 + 5 + 10 + 95

Length of  the boundary of the remaining park = 440 m                                                ( Ans )


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