Question

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Answer 1

"The length is 6 meters longer than the width" means l = 6 + w.

Using the perimeter formula, we have

$\begin{gathered} P=2(w+l) \\ 114=2(w+6+w) \\ \frac{114}{2}=2w+6 \\ 57-6=2w \\ w=\frac{51}{2} \\ w=25.5 \end{gathered}$

Then,

$l=6+25.5=31.5$

Hence, the width is 25.5 meters.