Question

3. A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.​

Answer 1

Length of floor = 5 m and breadth of floor = 4 m

Area of floor = length x breadth

= 5 m x 4 m = 20 m.sq

Now, Side of square carpet = 3 m

Area of square carpet = side x side = 3 x 3 = 9 m.sq

Area of floor that is not carpeted = 20 m – 9 m = 11 m.sq

Answer 2

`11 {m}^(2)`

Explanation:

First Condition:

Given ,

Length of a floor = 5 m

Width of the floor = 4 m

Therefore,

Area of the floor

= l × b

= 5m × 4m

`= 20 {m}^(2)`

Second Condition:

Given,

Sides of a square carpet = 3 m

Therefore,

Area of the carpet

= s × s

= 3m × 3m

`= {9m}^(2)`

At last:

Now,

Area of the floor that is not carpeted is

= Area of the floor - Area of the carpet

`= {20m}^(2) - {9m}^(2)`

`= 11 {m}^(2) (ans)`