Given:
width = 50cm
perimeter = 220 cm
Let the length be x
The formula for the perimeter of a rectangle is:
[tex]Perimeter\text{ = 2\lparen length + width\rparen}[/tex]
Substituting the given values:
[tex]220\text{ = 2\lparen x + 50\rparen}[/tex]
Solving for x:
[tex]\begin{gathered} 2(x\text{ + 50\rparen = 220} \\ Divide\text{ both sides by 2} \\ x\text{ + 50 = }\frac{220}{2} \\ x\text{ + 50 = 110} \\ Collect\text{ like terms} \\ x\text{ = 110 - 50} \\ x\text{ = 60} \end{gathered}[/tex]
Hence, the length is 60 cm
