Question

The perimeter of a garden is 250 meters. the length is 5 meters more than 3 times the width, find the dimensions of the garden?

Answer 1

Width: 30 m
Length: 95 m

Explanation:

First, start by writing the formula for the perimeter of a rectangle

`P = 2 * (L + w)`, where

`L` - the length of the rectangle;
`w` - the width of the rectangle;

This will be your first equation. To get the second one, use the fact that the length of the perimeter is 5 m more than 3 times its width.

`L = 3 * w + 5`

Plug this into the first equation and solve for `w` to get

`2 * (3w + 5 + w) = 250`

`8w + 10 = 250`

`8w = 240 implies w = 240/8 = color(green)("30 m")`

This means that the length of th garden is

`L = 3 * (30) + 5 = color(green)("95 m")`

Give it a quick check to see if the solutions match

`2 * (30 + 95) = 250`

`2 * 125 = 250 " "color(green)(sqrt())`