Question

The width of a rectangle is one third of the length. | If the perimeter is 96 cm, find the width.
can u show the steps in detail?​

Answer 1

Answer:

The width of the rectangle, whose perimeter is $96\ cm$ and width is one third of the length is, $12\ cm$.

Step-by-step explanation:

Suppose length $=x\ cm$,

then width $=\frac{1}{3} x= \frac{x}{3} \ cm$.

It can also be taken as , let the width $=y\ cm$,

then the length $=3y\ cm$,

because since the width is one third of the length ,it is as same as length is thrice the width.

We know the equation to find the perimeter of a rectangle.

Perimeter $= 2(l+b)$,

We are asked to calculate the width ,that is $b$.  

it is given that perimeter is $96\ cm$

therefore

                  $2(l+b)=96\\\\2(3y+y)=96\\\\2(4y)=96\\\\8y=96\\\\y=96/8=12\ cm$

That is width is $12\ cm$, and hence the length $=3y=3(12)=36\ cm$.

Hence the answer

thank you