Question

The width of a rectangle is 1/3 its length, l Which expression represents the perimeter of the rectangle?

Answer 1

`(8l)/3`

Explanation:

Let the length of the rectangle be `l`

Then we can say that the width is `1/3*l=l/3`

Now we need to form an expression (equation) for the perimeter.For that, we use the formula

`color(blue)("Perimeter of a rectangle"=2(l+w)` `color(blue)("units"`

Where,

`l="length"`

`w="width"`

We know that the length is `l` and the width is `l/3`.Let's put it into the formula

`rarr2(l+w)`

`rarr2(l+l/3)`

Use the distributive formula `color(brown)(a(b+c)=ab+ac`

`rarr2l+(2l)/3`

`rarr(6l)/3+(2l)/3`

`color(green)(rArr(8l)/3`

So, we can say that, the perimeter of the rectangle is `(8l)/3`