Question

The cost of carpeting a room 12 m wide with a carpet of width 85 cm at * 120 per metre is 28800. Find the length of the room.​

Answer 1

The length of room is 17 meters

Step-by-step explanation:

Given as :

The breadth of the room = B = 12 meters

The width of carpet = b = 85 cm = 0.85 m

Let The length of room = L meters

Total cost of carpeting the room at rate Rs 120 per meters = Rs 28800

According to question

Area of room = length × breadth

Or, Area of room = L × 12

So, Length of room = $\dfrac{Area of room}{12}$

Now, Area of carpet  = Area of room = 12 L

So, length of carpet = $\dfrac{Area of carpet}{breadth of carpet}$

Or,  , length of carpet = $\dfrac{12L}{0.85}$

Now, cost of carpeting the room at rate Rs 120 per meters = Rs 28800

i.e  Total cost = $\dfrac{rate of carpeting}{length of room}$

Or, Rs 28800   = Rs 120× $\dfrac{12L}{0.85}$  

Or,  28800 × 0.85  = 1440 L

Or,  24480 = 1440 L

∴        L = $\dfrac{24480}{1440}$

i.e      L = 17 meters

So, The length of carpet = L = 17 meters

Or, The length of room = L = 17 meters

Hence, The length of room is 17 meters  Answer

Answer 2

Answer:

the length of a room is 17 m