Question

the length of a room is two times of its breadth and is 30 metre find the area of the carpet so that the whole floor can be carpeted.

Answer 1

$\huge\mathfrak\blue{Answer:}$

Given:

• We have been given that length of a room is two times of its breadth
• Breadth is given as 30 m

To Find:

• We have to find the value of area of carpet so that the whole floor can be carpeted

Solution:

We have been given given that

$\boxed{\text{Breadth of Room = 30 m }}$

Given that Length of room is two times of its Breadth

$\implies \text{Lenght = 2 x Breadth }$

$\implies \text{Lenght = 2 x 30 }$

$\boxed{\text{Lenght of Room = 60 m} }$

______________________________

Floor of the Room is in the shape of a rectangle so the required area

Area of the carpet required will be equal to the area of floor of the room

We know that area of rectangle is given by the product of its lenght and breadth

$\because \: \boxed{\sf{Area \: of \: Rectangle = Length \times Breadth }}$

$\implies \sf{60 \times 30 }$

$\implies \sf{1800 \: m^2}$

Area of Carpet is 1800 m²

______________________________

$\huge\underline{\sf{\red{A}\orange{n}\green{s}\pink{w}\blue{e}\purple{r}}}$

$\large\boxed{\sf{Required \: Area = 1800 \: m^2}}$

______________________________

$\large\purple{\underline{\underline{\sf{Extra \: Information:}}}}$

• A rectangle is any four-sided figure that also has four right angle
• Having opposite sides Equal and parallel to one another
• The diagonals of a rectangle are equal in length to each other
• Diagonals bisect each other at their point of intersection
• $\sf{Perimeter = 2 \: ( \: Length + Breadth \: ) }$
• $\sf{Area = Lenght \times Breadth }$