Question

The breadth of a rectangle is1by6.
246 m, finds its length​

Answer 1

Answer :

Length of the rectangle = 82m

Step-by-step Explanation :

Question :

The breadth of a rectangle is 1/6 of its perimeter . And its perimeter is 256m . Find its length .

Given :

Breadth of the rectangle = 1/6 of the perimeter

Perimeter = 246m

To find :

The length of the rectangle

Concept :

First find the Breadth of the rectangle . And to find the Breadth use this equation -:

$\boxed{\sf{\dfrac{1}{6}\times256}}$

After that ,

Let the length be x

And to find the length of the rectangle use this formula -:

$\boxed{\sf{2(L+B)=P}}$

Where,

L = Length

B = Breadth

P = Perimeter

Solution :

▪︎Breadth -:

$:\implies\sf{\dfrac{1}{\cancel{6}}\times\cancel{246}}$

$:\implies\sf{41m}$

▪︎Length of the rectangle -:

$:\implies\sf{2(x+41)=246}$

$:\implies\sf{2x+82=246}$

$:\implies\sf{2x=246-82}$

$:\implies\sf{2x=164}$

$:\implies\sf{x=\cancel{\dfrac{164}{2}}}$

$:\implies\sf{x=82m}$

So , the length of the rectangle is 82m .