Question

A floor is 10 m long and 5 m wide. A square carpet of side 3 m is laid on the floor. Find the area of the floor that is NOT carpeted.

Answer 1

Required Answer :

Given -

• A floor is 10 m long and 5 m wide

• A square carpet of side 3 m is laid on the floor

To Find -

• Area of the floor that is not carpeted

Formulae Used -

• Area of Rectangle = Length × Breadth

• Area of Square = side × side

Solution -

To find the area of the floor that is not carpeted, we will be using the Formulae, Area of Rectangle = Length × Breadth and Area of Square = side × side, and after that, we will just subtract both the areas to find out the area of the floor that is not carpeted, so let's do it!

You already know that - Long means the length, and wide means the width or the breadth.

Solve for area of the floor :

Area of Rectangle = Length × Breadth

Area of Rectangle = 10 × 5

Area of Rectangle = 50 m²

Solve for area of the square carpet :

Area of Square = side × side

Area of Square = 3 × 3

Area of Square = 9 m²

Now we have both the areas, let's find out the area of the floor that is not carpeted then. And to do so we'll just subtract both the areas as said before, so let's do it!

50 - 9 = 41 m²

Hence, Subtracted!

∴ Area of the floor that is not carpeted is 41 m²

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Additional Information :

$\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}$

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Answer 2

Answer:

Given

• length of floor=10m

• breadth of floor=6m

and

• side of square=5m

hence

• area of floor= length*breadth

= 10*6

= 60m^2

now

• area of square= side*side

= 5*5

=25m^2

now

• the area of floor uncarpated= area of floor- area of carpet

= 60-25

= 35m^2