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

Answer:

The width of the rectangle is 11.75 meters.

Step-by-step 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:

$Perimeter=2\times length+2\times width$

$100=2\times (2+3x)+2\times x$

$100=4+6x+2x$

$100=6+8x$

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.