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perimeter=2(a+b)=98 cm
\n" ); document.write( "2(a+b)=98
\n" ); document.write( "a+b=49
\n" ); document.write( "b=(49-a)....[1]
\n" ); document.write( "diagonal=sqrt(a^2+b^2)=35 cm
\n" ); document.write( "sqrt(a^2+b^2)=35....[2]
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document.write( "Now from eqn two,
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document.write( "sqrt(a^2+b^2)=35
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document.write( "(a^2+b^2)=(35)^2
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document.write( "(a^2+b^2)=1225
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document.write( "Now from eqn one,
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document.write( "b=(49-a)
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document.write( "b^2=(49-a)^2
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document.write( "Substituting this we get,
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document.write( "(a^2+b^2)=1225
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document.write( "a^2+(49-a)^2=1225
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document.write( "a^2+(2401+a^2-98a)=1225
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document.write( "2a^2-98a+2401=1225
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document.write( "2a^2-98a+2401-1225=0
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document.write( "2a^2-98a+1176=0
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document.write( "a^2-49a+588=0
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document.write( "(a-28)(a-21)=0
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document.write( "a=28,21
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document.write( "b=49-a=21,28
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document.write( "
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document.write( "so we get the dimensions as:
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document.write( "{21,28}cm or {28,21}cm
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document.write( "
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document.write( "hope this helps,
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document.write( "Prabhat