Question

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

Answer 1

Given:-

• Length of the Floor = 5 m

• Breadth of the Floor = 4 m

• Side of square carpet = 3 m

To Find:-

• Area of the floor that is not carpeted.

Formula Used:-

• ${\boxed{\bf{Area\:of\: Rectangle= Length \times Breadth}}}$

• ${\boxed{\bf{Area\:of\: Square= Side^2}}}$

Solution:-

Firstly Using Formula,

$\sf :\implies\:Area\:of\: Rectangle= Length \times Breadth$

Putting values,

$\sf :\implies\:Area\:of\: Floor= 5 \times 4$

$\sf :\implies\:Area\:of\: Rectangle= 20\:m^2$

Now Using Formula,

$\sf :\implies\:Area\:of\: Square= Side^2$

Putting values,

$\sf :\implies\:Area\:of\: Carpet= 3^2$

$\sf :\implies\:Area\:of\: Carpet= 9\:m^2$

Now,

Area of the floor that is not carpeted :-

$\sf = Area\:of\: Floor - Area\:of\: Carpet$

$\sf = (20 - 9)\:m^2$

$\sf = 11\:m^2$

Hence, Area of the floor that is not carpeted is 11 m².

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