Question

The length of a rectangular garden is 8 feet longer than its width. The garden's perimeter is 180 feet. Find the length of the garden.

Answer 1

The perimeter of a rectangle is given by the formula below

`P=2l+2w`

Furthermore, we know that the length is 8 feet longer than the width; this is

`\begin{gathered} l=w+8 \\ \text{and} \\ P=180 \end{gathered}`

Therefore,

`\begin{gathered} \Rightarrow180=2l+2w \\ \Rightarrow180=2(l+w) \\ \Rightarrow90=l+w \\ \Rightarrow90=(w+8)+w \\ \Rightarrow2w=82 \\ \Rightarrow w=41 \end{gathered}`

The width is equal to 41 ft; thus,

`\begin{gathered} \Rightarrow l=41+8=49 \\ \Rightarrow l=49 \end{gathered}`

Therefore, the length of the garden is equal to 49 ft.