Answer:
26 feet
Step-by-step explanation:
The perimeter of a rectangle is 2 times its length and 2 times its width, or [tex]2l+2w=P[/tex]. Let's plug in the given values for the width and perimeter and solve.
[tex]2l+2(22)=96[/tex]
Simplify.
[tex]2l+44=96[/tex]
Subtract 44 on both sides.
[tex]2l+44-44=96-44[/tex]
Simplify.
[tex]2l=52[/tex]
Divide by 2 on both sides.
[tex]\frac{2l}{2} =\frac{52}{2}[/tex]
Simplify again to find the value of [tex]l[/tex].
[tex]l=26[/tex]
The length is 26 feet.
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