Question

100 pe.
13. A rectangular room is 10 m long and 7.5 m wide. Find the cost of covering the
floor with carpet 1.25 m wide at 250 per metre.​

Answer 1

Answer :

• The cost of covering with carpet is 15000

Given :

• Length of the room is 10m
• Width of the room is 7.5m
• Cost per metre is 250
• Covering the floor carpet is 1.5 m which means Width

To find:

• The cost of covering the floor with carpet

Solution :

Given,

• Length of the room is 10m
• Width of the room is 7.5m

As we know that,

• Area of floor = length × breadth

● 10 × 7.5

● 1.25

Area of floor is 1.25m

According to Question Given,

• Width of carpet is 1.25m

Now ,

we have to find the length of carpet,

• Area of floor = Area of carpet

● 10 × 7.5 = 1.25 × length of carpet

● Length of carpet = 10 × 7.5/1.25 = 60m

Length of carpet is 60m

Now According To Question Given that,

• cost per metre is 250rs

Then ,

• Total cost = length of carpet × cost per metre

● 60 × 250

● 15000

Hence , The cost of covering with carpet is 15000

Answer 2

Given:-

• A rectangular room is 10m long and 7.5m wide.
• Cost of covering the floor with carpet 1.25 m wide at 250 per metre.

To Find:-

• Cost price of 1.25 m wide at 250 per metre = ?

Solution:-

Length of the room is 10m.

Width of the room is 7.5m.

$\large\sf\red{Area\:of\:floor= Length × breadth}$

Now,put the values on their places.

●10 × 7.5

● 1.25m

Hence, Area of floor is 1.25m.

Now,

We have to find the length of carpet.

$\large\sf\green{Area\:of\:floor=Area\:of\:carpet}$

Again,put the value at their places.

10 × 7.5 = 1.25 × Length of carpet

Length of carpet = 10 × $\sf\frac{7.5}{1.25}$ = 60m.

Length of carpet = 60m

Now, we have to find the cost price.

• Cost per meter is 250 Rs.

$\large\sf\purple{Total\:cost=Length\:of\:carpet × Cost\: per\: minute}$

•60 × 250

•15000 Rs.

Hence, Cost of covering the floor with carpet = Rs. 15000.