Answer:
26 feet
Explanation:
The perimeter of a rectangle is 2 times its length and 2 times its width, or
. Let's plug in the given values for the width and perimeter and solve.
![2l+2(22)=96](https://img.qammunity.org/2022/formulas/mathematics/college/xo2z50s9o4blwdlcoldda4svyy9u2ebr3m.png)
Simplify.
![2l+44=96](https://img.qammunity.org/2022/formulas/mathematics/college/nhbuqberyk2tv328wlitf41cl2y7pk9qk7.png)
Subtract 44 on both sides.
![2l+44-44=96-44](https://img.qammunity.org/2022/formulas/mathematics/college/g2fq3domftk292gpnj7mmb4j27f08cs9pi.png)
Simplify.
![2l=52](https://img.qammunity.org/2022/formulas/mathematics/college/ohyn2fuzgx6hz8ydn027w7t0t4i8o4u7cm.png)
Divide by 2 on both sides.
![(2l)/(2) =(52)/(2)](https://img.qammunity.org/2022/formulas/mathematics/college/v4bi8qt3j9o2bjgu1azo2vmwoktmb49bxb.png)
Simplify again to find the value of
.
![l=26](https://img.qammunity.org/2022/formulas/mathematics/college/z1mzc4oxtviq89nzd50hu4hh09abyynvzt.png)
The length is 26 feet.
Good luck <3