Question

The width of a rectangular swimming pool is 13 meters less than the length and the perimeter is 98.Find it dimensions.

Answer 1

Given:

Let 'l' and 'w' be the length and width of the swimming pool.

`w=l-13`
`\begin{gathered} \text{Perimeter of the swimming pool =2(l+b)} \\ 98=2\lbrack l+l-13\rbrack \\ (98)/(2)=2l-13 \\ 49=2l-13 \\ 49+13=2l \\ 62=2l \\ l=31\text{ m} \end{gathered}`
`\begin{gathered} w=l-13 \\ w=31-13 \\ w=18\text{ m} \end{gathered}`

Length of the swimming pool is 31m

width of the swimming pool is 18m.