Question 36980
X~2+Y~2=13~2 & 2X+2Y=34 THUS X+Y=17 THUS X=17-Y OR
(17-Y)~2+Y~2=169 or 289-34y+y~2+y~2=169 or 2y~2-34y+120=0 or y~2-17y+60=0 OR

(y-12)(y-5)=0 or y=12 & y=5 THEN THE DIMEMSIONS ARE 12 & 5 

PROOF 2*12+2*5=34 OR 24=10=34 OR 34=34 & 12~2+5~2=13~2 OR 144+25=169 OR 169=169