Respuesta :

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.

Good luck <3

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