Question

The length and breadth of a hall are in the ratio 3: 2 and its height is 4.5 metres. The cost of decorating its wall (including doors and windows) at Rs 4.50 per square meter is Rs 4050. Find the length and breadth of the room. ​

Answer 1

Answer:

$\huge \underline \mathfrak\color{red} {Answer↓}$

$\huge{\fcolorbox{gold}{Red}{Length=540m}}$

$\huge{\fcolorbox{gold}{lightblue}{360m}}$

Step-by-step explanation:

Given,

Height of the room = 4.5m

Ratio of length to breadth = 3:2

Rate of decorating its walls = ₹4.50/m²

Total cost of decorating its walls = ₹4050

To Find,

Length and Breadth of the room.

Procedure,

$area \: of \: the \: walls = \frac{4050}{4.5} m ^{2} \\ = 900 {m}^{2}$

Given that ratio of length to breadth = 3:2

$total \: parts = 3 + 2 \\ = 5$

Let the length and breadth of the room be 3x and 2x respectively.

$3x + 2x = 900$

$5x = 900$

$x = \frac{900}{5}$

$x = 180$

$length = 3x \\ \: \: \: \: \: \: \: \: = 3 \times 180 \\ = 540$

$breadth = 2 x \\ \: \: \: \: \: \: \: \: = 2 \times 180 \\ = 360$