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

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Answer 1 · 2016-12-01T05:22:42

$(8l)/3$

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 $(8l)/3$