1what is the length of carpet for carpeting the
floor of 45 m long square room with 9 m width carpet? if
cost of the carpet per meter is rs. 225, find the total cost
of carpeting the room

The length of the carpet = l = 5 meter  

The cost of carpeting the room is Rs 6300  .

Step-by-step explanation:

Given as :

The area of the room = 45 m²

The width of the carpet = w = 9 m

Let The length of the carpet = l meter

The cost of the carpet per meter = Rs 225

Let The cost of carpeting the room = Rs x

Now, According to question

The Area of room = length × breadth

Or, 45 m² = l m × b m

Or,  45 m² = l m × 9 m

∴  l =

i.e l = 5 m

So, The length of the carpet = l = 5 meter

Again

Perimeter of carpet = 2 × length + 2 × width

Or, Perimeter of carpet = 2 × 5 m + 2 × 9 m

Or, Perimeter of carpet = 28 meters

∵ The cost of carpet per meter = Rs 225

∴ The cost of carpeting the room = Rs 225 × 28

i.e The cost of carpeting the room = Rs 6300

Hence, The length of the carpet = l = 5 meter and The cost of carpeting the room is Rs 6300  . Answer