Question

a room is 15m long and 9.5m wide . if 11m square carpet is laid on the floor then find the area which is left uncarpeted

Answer 1

The length of the room floor (l) = 15m
The breadth of the room floor (b) = 9.5m
area of the room floor = lb = (15)(9.5)m² = 142.5 m²

Length of the square carpet (a) = 11m
Area of the square carpet = a² = 11²m² = 121m²

The area of the floor left uncarpeted = area of floor - area of the carpet 
                                                          = 142.5m² - 121m² = 21.5m²

Answer 2

Answer: 21.5m²

Step-by-step explanation: length of room , l = 15m

Width of room, b = 9.5 m

So, area of room = area of rectangle = length * width

                             = 15 × 9.5 = 142.5 m²

Edge length of square carpet = 11 m

So, area of square carpet = (edge length of square carpet)²

                                           = 11² = 121 m²

Now area of room, which  is left uncarpeted = area of room -  area of square carpet

             = 142.5 - 121 = 21.5 m²

Hence, 21.5 m² area of room is left uncarpeted.