Question

The length of a rectangle is 3 times its width. The perimeter of the rectangle is 80 cm. Use the equat Type your answer Previous

Answer 1

Given data:

The expression for length is L= 3b.

The perimeter of the rectangle is P = 80 cm.

The expression for the perimeter is,

`P=2(L+b)`

Substitute the given values in the above expression.

`\begin{gathered} 80\text{ cm =2(3b+b)} \\ 80\text{ cm=8b} \\ b=10\text{ cm} \end{gathered}`

The length of the rectangle is,

`\begin{gathered} L=3(10\text{ cm)} \\ =30\text{ cm} \end{gathered}`

Thus, the length of the rectangle is 30 cm, and width of the rectangle is 10 cm.