Question

A school has a hall which is 22m long and 15.5 m broad. A carpet is laid inside the hall 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 the carpet is 82 cm find its cost at the reat of rs 60 per m.

Answer 1

Total Area of the hall = Length * Width
                                = 22 * 15.5 = 341 m²

75cm = 75/100 m = 0.75m

Since the margin is on both the sides we will subtract it twice,
Area of the carpet = Length * Width
                              = (22 - 0.75 - 0.75) * (15.5 - 0.75 - 0.75)
                              = 20.5 * 14 = 287 m²

Uncovered Area = Total Area - Area of the carpet
                           = 340 - 287 = 53m²

Total Carpet required = 287 m²
Total Cost of carpet = 287 * 60 = Rs 17220