Question

The ratio of length and breadth of a room is 3 : 2.If the sum of length and breadth is 40 m, then its breadth is
(1) 24 m
(2) 18 m
(3) 6 m
(4) 14 m​

Answer 1

⇝ Given :-

• The ratio of length and breadth of a room is 3 : 2.

• The sum of length and breadth is 40 m.

⇝ To Find :-

• Breadth of the Room.

⇝ Solution :-

As ratio of length and breadth of room is 3 : 2.

Let,

• Length of Room = 3x meter

• Breadth of Room = 2x meter

❒ According To Question :

$\red{\text{Length + Breadth = 40}}$

$:\longmapsto3 \text x + 2\text x = 40$

$:\longmapsto5\text x = 40$

$:\longmapsto\text x = \cancel\frac{40}{5}$

$\purple{ \Large :\longmapsto  \underline {\boxed{{\bf x = 8} }}}$

Hence,

• Length = 3 × x = 3 × 8 = 24 m

• Breadth = 2 × x = 2 × 8 = 16 m

So,

$\large\underline{\pink{\underline{\frak{\pmb{ Breadth \: of \: Room = 16 \: m }}}}}$

Answer 2

GIVEN THAT :-

• Ratio of length and breadth of room = 3:2

• Sum of length and breadth = 40m

TO FIND OUT:-

• Breadth

SOLUTION:-

Let the length and breadth be 3x and 2x

$\textbf{3x + 2x = \: 40}$

$\rightarrow \textbf{5x = \: 40}$

$\rightarrow \textbf{x = } \frac{40}{5}$

$\rightarrow \textbf{x = 8}$

So,

Length = 8 × 3 = 24cm

Breadth = 8 × 2 = 16cm

$\therefore \: \: \textbf{Breadth \: = 16}$