Question

A carpet is placed in the middle of a floor of a room 15 m long and 12 m broad so that it leavesa uniform width of 1 meter around it. Find the area and cost of the carpet at ₹500 per m².​

Answer 1

Given data : A carpet is placed in the middle of a floor of a room 15 m long and 12 m broad so that it leaves a uniform width of 1 metre around it.

To find : Find the area and cost of the carpet at ₹ 500 per m².

Solution : Let, room is in rectangular shape,

Now, according to given,

⟹ Length of room = 15 m

⟹ Breadth of room = 12 m

Now,

A carpet is placed in the middle of a floor of room, and it leaves a uniform width of 1 meter around it. Hence,

⟹ Length of carpet = Length of room - 2(width of space between room and carpet)

⟹ Length of carpet = 15 - 2(1)

⟹ Length of carpet = 15 - 2

⟹ Length of carpet = 13 m

similarly,

⟹ Breadth of carpet = breadth of room - 2(width of space between room and carpet)

⟹ Breadth of carpet = 12 - 2(1)

⟹ Breadth of carpet = 12 - 2

⟹ Breadth of carpet = 10 m

Now,

⟹ Area of of carpet = length * breadth

⟹ Area of of carpet = 13 * 10

⟹ Area of of carpet = 130 m²

Now,

⟹ Cost of carpet = Area of of carpet * cost of carpet per square metre

⟹ Cost of carpet = 130 * 500

⟹ Cost of carpet = ₹ 65000

Answer : Area of the carpet is 130 m² and cost of carpet is ₹ 65000.

Answer 2

Answer:

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