Question

The perimeter of a rectangular room is 246 m. If the length is 3 m more than thrice its breadth. Find the length and breadth of the pool.​

Answer 1

$bts \: exo \\ \\ very \: good \: afternoon$

Given:-

Perimeter = 246 m

Length is 3 metre more than 2x its breadth.

Solution

Let us assume breadth as x.

So, length is 3+2x

According to the question:-

Perimeter = 2(L+B)

L is length

B is breadth

=246=2(3+2x+x)

=246=2(3+3x)

=246=6+6x

=246-6=6x

=240=6x

x=240÷6

x=80m

LIFE GOES ON

Answer 2

$\huge\mathfrak\green{Answer:}$

Given:

• We have been given that , Perimeter of a rectangular room is 246 m
• Length is 3m more than thrice its breadth

To Find:

• We have to find the length and Breadth of the Rectangle

Solution:

Let us assume :

• Length of Rectangle = x
• Breadth of Rectangle = y

$\underline{\bf{According \: to \: the \: Question:}}$

Length is 3m more than thrice it's Breadth

$\leadsto{\bf{ x - 3y = 3 }}$

$\leadsto{\bf{ x = 3y + 3 }}$ ------------- (1)

We have also given Perimeter of Rectangle

Perimeter of Rectangle :

• Perimeter of Rectangle is twice the sum of its Length and Breadth .
• Mathematically can be written as

$\boxed{\sf{\green{Perimeter = 2 \: ( Length + Breadth )}}}$

$\sf{}$

Since Perimeter of Rectangle is 246 m

$\leadsto{\bf{ Perimeter = 246 }}$

$\leadsto{\bf{ 2 \: ( x + y ) = 246}}$

Putting value of x , From Equation (1)

$\leadsto{\bf{ 2 \: ( 3y + 3 + y ) = 246}}$

$\leadsto{\bf{ 2 \: ( 4y + 3 ) = 246}}$

$\leadsto{\bf{ 4y + 3 = 123 }}$

$\leadsto{\bf{ 4y = 120 }}$

$\leadsto{\boxed{\bf{ y = 30}}}$

Putting y = 30 in Equation (1) , We get

$\leadsto{\bf{ x = 3y + 3 }}$

$\leadsto{\bf{ x = 90 + 3}}$

$\leadsto{\boxed{\bf{ x = 93 }}}$

$\sf{}$

$\underline{\boxed{\sf{\green{Length \: of \: Rectangle = 93 m}}}}$

$\underline{\boxed{\sf{\green{Breadth \: of \: Rectangle = 30 m}}}}$