Question

A rectangle has a width of 50 cm and a perimeter of 220 cm

Answer 1

Given:

width = 50cm

perimeter = 220 cm

Let the length be x

The formula for the perimeter of a rectangle is:

`Perimeter\text{ = 2\lparen length + width\rparen}`

Substituting the given values:

`220\text{ = 2\lparen x + 50\rparen}`

Solving for x:

`\begin{gathered} 2(x\text{ + 50\rparen = 220} \\ Divide\text{ both sides by 2} \\ x\text{ + 50 = }(220)/(2) \\ x\text{ + 50 = 110} \\ Collect\text{ like terms} \\ x\text{ = 110 - 50} \\ x\text{ = 60} \end{gathered}`

Hence, the length is 60 cm