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[tex] \large\underline \bold{{GIVEN}}[/tex]
[tex] \large\underline \bold{{SOLUTION}}[/tex]
Remember the formula in finding the perimeter:
[tex]\longmapsto\sf{P=2(L+W)}[/tex]
Substitute the given expressions and solving for the dimensions:
[tex]\longmapsto\sf{P=2(x+4+x)}[/tex]
[tex]\longmapsto\sf{68=2x+4}[/tex]
[tex]\longmapsto\sf{68-4=2x}[/tex]
[tex]\longmapsto\sf{64=2x}[/tex]
[tex]\longmapsto\sf{32=x}[/tex]
Now, Substitute again the value of x to get the dimensions:
[tex]\textrm{Length = x+4 = 32+4 = \boxed{36meters}}[/tex]
[tex]\textrm{Width = x = \boxed{32meters}}[/tex]
[tex] \large\underline{ \bold{ANSWER}}[/tex]