Answer:
Width of the rectangle is 27
Explanation:
Given:
![Perimeter= 92 units\\\\Length= 19 units](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5zokw07aa136senb5e2jgiu18d6jq5wyrz.png)
Perimeter of the rectangle =
![2(Length+Width)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6r9jcd4upu16mx2ur343kw5yxnume1f4nn.png)
Putting the values:
![92=2(19+Width)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/z46oh6x8pg23vtdl71giktfqcf8j7y100f.png)
Dividing by '2' both the sides:
![92/2=19+width](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yj40g46z8v5aqpk68mch1y50nwkek9840q.png)
![46=19+Width](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fbtibz3drk1oc9lfa8woqdqagmuxakmb18.png)
Subtracting '19' both the sides:
![46-19=Width](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cnu66g85pds2gh3z3cgfztc1ta6fmvbmas.png)
![Width=27 units](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5qiydrnafepseoel0rjh28pvm020qzld0h.png)
The width of the rectangle is 27 units with Length=19 units and Perimeter= 92 units