Question

The area of four walls of aroom is 144m². If the length of the room is thrice is breadth & the height is 3m. Find the area of the floor.​

Answer 1

Answer:

• The area of the floor is 108m².

Step-by-step explanation:

Given :-

• The area of four walls of a room is 144m².
• The length of the room is thrice to it's breadth & the height is 3m.

To find :-

• We have to find the area of the floor.

Basic Terms :-

• Length : Length is the distance from one end to the other end of an object.
• Breadth : Breadth is the width of a shape and describes the distance from the right side to the left side of a shape.
• Area : The area can be defined as the space occupied by a flat shape or the surface of an object.

Formula Used :-

➲ Area of rectangle = Length × Breadth

Calculations :-

~ Here we are given the area of four walls of a room as 144m² and the length of the room is thrice to it's breadth & the height is 3m. Here length and breadth of the wall are not given. So let the breadth of the wall be 'b' m and the length be '3b' m. So firstly, we will find out the length and breadth of the walls. And at last, we will find out the area of the floor.

According to the question :-

↦ Area of four walls = 144

↦ 2h(l + b) = 144

↦ 2 × 3(3b + b) = 144

↦ 6(4b) = 144

↦ 4b = 144/6

↦ 4b = 24

↦ b = 24/4

➦ B = 6m.

∴ Therefore, the required breadth = 6m.

~ Now we have the breadth. So now, we will find out the length of the wall.

Finding length of the wall :-

✪ Length = 3b m

↦ Length = 3(6) m

↦ Length = 3 × 6 m

➦ Length = 18m.

∴ Therefore, the required length = 18m.

~ Now at last, we will find out the area of the floor.

Finding area of the floor :-

↦ Area of the floor = Length × Breadth

↦ Area of the floor = 18m × 6m

➦ Area of the floor = 108m².

• Hence, the required area of the floor is 108m².

Answer 2

Solution :-

Let us assume that, breadth of the room is x m.

so,

• L = 3 * B = 3x m.
• B = x m.
• H = 3 m.

then,

→ Area of 4 walls = 2(L + B) * H

→ 2(3x + x) * 3 = 144

→ 4x = 24

→ x = 6 .

therefore,

• L = 3x = 3 * 6 = 18 m.
• B = x = 6 m.

hence,

→ Area of the floor = L * B = 18 * 6 = 108 m² (Ans.)

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