Question

The length of a rectangle is 2 more than 3 times the width if the peremiter 100 meters what is the width of the rectangle?

Answer 1

The width of the rectangle is 11.75 meters.

Explanation:

Given:

The length of a rectangle is 2 more than 3 times the width.

The perimeter 100 meters.

Now, to find the width of the rectangle.

Let the width be
`x.`

So, the length is
`2+3x.`

Perimeter = 100 meters.

Now, putting the formula to get the width:

`Perimeter=2* length+2* width`

`100=2* (2+3x)+2* x`

`100=4+6x+2x`

`100=6+8x`

Subtracting both sides by 6 we get:

`94=8x`

Dividing both sides by 8 we get:

`11.75=x`

`x=11.75\ meters.`

Therefore, the width of the rectangle is 11.75 meters.