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You can put this solution on YOUR website!
let the length be x feet
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document.write( "P=2(x+y)=34 feet
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document.write( "(x+y)=17
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document.write( "diagonal=13 feet
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document.write( "(13)^2=x^2+y^2
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document.write( "169=[(x+y)^2]-2xy
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document.write( "169=[(17)^2]-2xy
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document.write( "169-289=-2xy
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document.write( "xy=120/2
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document.write( "xy=60
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document.write( "x+y=17
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document.write( "xy=60
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document.write( "Then,x=17-y
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document.write( "xy=60
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document.write( "(17-y)y=60
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document.write( "-y^2+17y-60=0
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document.write( "-y^2+5y+12y-60=0
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document.write( "y(-y+5)-12(-y+5)=0
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document.write( "(-y+5)(y-12)=0
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document.write( "y=5 or 12
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document.write( "xy=60,y=5 or 12
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document.write( "therefore,x=12 or 5
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document.write( "{x,y} = {5,12} OR {12,5}
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document.write( "
Prabhat.