Question

The perimeter of a rectangle is 510 cm. The ratio of the length to the width is 3:2. What are the dimensions of this rectangle?

Answer 1

The formula to find the perimeter of a rectangle is

`p = 2(l + w)`
When we put in our givens to this formula:

`510 = 2 * (3x + 2x)`
Combine x values:

`510 = 2 * 5x`
Simplify right side:

`510 = 10x`
Isolate x, by dividing both sides by 10:

`51 = x`
To find length:

`l = 3x = 3 * 51 = 153`
For width:

`w = 2x = 2 * 51 = 102`
To solidify our answers:

`p = 2(l + w) = 2 * (153 + 102) = 2 * 255 = 510`
So, our length is 153, our width is 102.