question_answer 1)

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. TIPS Firstly, find the area of rectangular floor and square carpet separately. Then, the area of required floor will be obtained by subtracting area of carpet from area of floor.

Answer:

Given, length of the floor = 5 m and breadth of the floor = 4 m Then, area of the floor = Length x Breadth \[=5m\times 4m=20\,sq\,m\] Side of the square carpet = 3 m \[\therefore \]Area of the carpet \[=Side\times Side=3m\times 3=9\,sq\,m\] Now, area of the floor that is not carpeted = Area of the floor - Area of the carpet \[=(20-9)\text{ }sq\text{ }m\text{ }=\text{ }11\text{ }sq\text{ }m\] Hence, 11 sq m area of the floor is not carpeted.