Question

The length and breadth of a hall are in the ratio 4 : 3 and its height is 5.5 metres. The cost of decorating its walls (including doors and windows) at Rs. 6.60 per square metre is Rs. 5082. Find the length and breadth of the room.

Answer 1

The length and breadth of the room are 40 m and 30 m respectively

Solution:

Given that,

The length and breadth of a hall are in the ratio 4 : 3

Let the length be 4x and breadth be 3x

Given that,

The cost of decorating its walls (including doors and windows) at Rs. 6.60 per square metre is Rs. 5082

cost per square meter = Rs 6.60

Total cost = Rs 5082

We know that,

$\text{Area of four walls } \times \text{ cost per square meter } = 5082\\\\2(l + b) \times h \times 6.60 = 5082\\\\2(4x + 3x) \times 5.5 \times 6.60 = 5082\\\\2(7x) = \frac{5082}{5.5 \times 6.60}\\\\7x = \frac{5082}{5.5 \times 6.60 \times 2}\\\\7x = 70\\\\x = 10$

Thus length = 4x = 4(10) = 40

breadth = 3x = 3(10) = 30

Thus length and breadth of the room are 40 m and 30 m respectively

Learn more about this topic

Length and breadth of a hall are in the ratio 4:3 and its height is 550 cm. the cost of decorating its wall [ including doors and windows] at Rs 6.60 per square metres is Rs 5082. find the length and breadth of room.

https://brainly.in/question/296201

The ratio of length to breadth of a rectangular field is 2 :1 a man runs 5 times around this field and covers the distance of 2 km find the length find the length and breadth of the field

https://brainly.in/question/7850736

Answer 2

The length and breadth of the room are 40 m and 30 m respectively.

Hope this will help u...