Question

The length of a rectangle is one more than five

times its width. If the perimeter is 38, find the
dimensions

Answer 1

`Length=16\\\\Width=3`

Explanation:

Let, the width of the rectangle be 'w'

Length of the rectangle=
`5w+1`

Perimeter of the rectangle=38

Perimeter of the rectangle= 2(Length+Width)

`38= 2(5w+1+w)\\\\38=2(6w+1)\\\\38/2=6w+1\\\\6w+1=19\\\\6w=19-1\\\\6w=18\\\\w=18/6\\\\w=3\\\\`

`Width=3`

`Length=5w+1= 5(3)+1=15+1=16`

`Length=16\\\\Width=3`