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

1 Answer
Dec 1, 2016

Answer:

#(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#