Question

A rectangular parking lot has a perimeter of 310 meters. The length is 5 meters more than 4 times the width. What is the length and width?

Answer 1

Width is `30` meters and length is `125` meters.

Explanation:

Let the width of parking lot be `x` meters

as length of plot is `5` meters more than four times its width,

length is `4x+5`

and perimeter being twice the sum of length and breadth is

`2xx(x+4x+5)=2xx(5x+5)=10x+10`

As perimeter is `310`, we have `10x+10=310`

and so `10x=310-10=300` and `x=30`

Hence, width is `30` meters and length is `4xx30+5=125` meters.