Answer
$l=13, w=4$
Work Step by Step
2l+2w=34
2(2w+5)=34
4w+10+2w=34
6w+10=34
6w=24
w=4
2l+2w=34 => 2l+2(4)=34 =>2l+8=34 =>2l=26 =>l=13
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