Answer:
Length of the rectangle is
![59 cm](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ayaxkjo8sz3i7n4zqu5u6kc3bu78y8m8yt.png)
Explanation:
A rectangle is a 2-D figure whose opposite sides are equal and its sides are at right angles.
Given:
Width of the rectangle=
![57cm](https://img.qammunity.org/2021/formulas/mathematics/middle-school/349wpf6qrv2eus8ooam00vzwvjsa08zinh.png)
Perimeter of the rectangle=
![232cm](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yowh67m0f45j1cj9q0k6pnj9xuuo5szw5o.png)
Perimeter of a rectangle=
![2(Length+width)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/il9gyxw5fk9u8qz2upxbmfpqxb8gg5thxn.png)
![232=2(Length+57)\\\\232=2*Length+2(57)\\\\232=2*Length+114\\\\2*Length=232-114\\\\Length=(118)/(2)\\\\ Length=59cm](https://img.qammunity.org/2021/formulas/mathematics/middle-school/dcwh8avevagrovu3nohtt3pyydtv2iqa38.png)
Length of the rectangle is
![59 cm](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ayaxkjo8sz3i7n4zqu5u6kc3bu78y8m8yt.png)