A school has a hall which is 22 m long and 15.5 m broad . A carpet is laid inside the leaving all around a margin of 75 cm from the walls . Find the area of the carpet and the area of strip left uncovered . If the width of carpet is 82cm ,find its cost at the rate of Rs60 per m.

Question

A school has a hall which is 22 m long and 15.5 m broad . A carpet is laid inside the leaving all around a margin of 75 cm from the walls . Find the area of the carpet and the area of strip left uncovered . If the width of carpet is 82cm ,find its cost at the rate of Rs60 per m.

Answer 1

To find the area of the carpet, we first need to calculate the dimensions of the carpet.

Since the carpet is laid leaving a margin of 75 cm from the walls, the length and width of the carpet will be slightly smaller than the dimensions of the hall.

Length of the carpet = Length of the hall - 2 * Margin
Width of the carpet = Width of the hall - 2 * Margin

Given:
Length of the hall = 22 m
Width of the hall = 15.5 m
Margin = 75 cm = 0.75 m

Now let's substitute these values into the formula to calculate the dimensions of the carpet:

Length of the carpet = 22 m - 2 * 0.75 m
Width of the carpet = 15.5 m - 2 * 0.75 m

Simplifying the above equations:

Length of the carpet = 22 m - 1.5 m
Width of the carpet = 15.5 m - 1.5 m

Length of the carpet = 20.5 m
Width of the carpet = 13.5 m

Now we can calculate the area of the carpet:

Area of the carpet = Length of the carpet * Width of the carpet
Area of the carpet = 20.5 m * 13.5 m

Area of the carpet = 276.75 square meters

To find the area of the strip left uncovered, we need to calculate the remaining margin around the carpet:

Remaining margin = Margin - Carpet width

Remaining margin = 0.75 m - 0.82 m (converting 82 cm to meters)

Since the width of the carpet is larger than the margin, the remaining margin will be negative. Therefore, the strip left uncovered is 0 square meters.

To find the cost of the carpet, we multiply the area of the carpet by the cost per square meter:

Cost of the carpet = Area of the carpet * Cost per square meter

Given:
Cost per square meter = Rs60/m

Cost of the carpet = 276.75 square meters * Rs60/m

Cost of the carpet = Rs16,605

Answer 2

i didn't understand,,,how does 1.5 came and 14 m

Answer 3

come on, there is a 0.75m border on both sides.

15.5-1.5 = 14.0

Answer 4

from where it came 17.07 strips please explain

Answer 5

carpeted area is (22-1.5)(15.5-1.5) = 287 m^2

margin area = 22*15.5 - 287 = 54 m^2

carpeted area is 14m wide, so it will take 17.07 strips of carpet. Call it 17.

17*20.5*60 = Rs 20910