Question

19. The area of four walls of a room is 120 m². If the length of the room is twice its breadth and
the height is 4 m, find the area of the floor.
​

Answer 1

Answer :-

• The area of the floor is 50m²

Step-by-step explanation:

To Find :-

• The area of the floor

Solution:

Given that,

• The area of four walls of a room = 120m²
• The length of the room is twice it's breadth.
• The height of the room = 4m

Assumption: Let us assume the breadth as "(x) metres" and length as "(2x) metres",

As we know that,

Area of four walls = [ 2 ( l + b ) × h ] sq. units,

=> [ 2 ( 2x + x ) × 4 ] = 120

=> [ 2 × 3x × 4 ] = 120

=> 3x × 8 = 120

=> 3x = 120/8

=> 3x = 15

=> x = 15/3

=> x = 5

Therefore,

• Length = (2x)m = (2*5)m = 10m
• Breadth = (x)m = 5m

According the question,

• The area of the floor

As we know that,

Area = length × breadth,

=> 10m × 5m

=> ( 10 × 5 ) m²

=> 50m²

Hence, The area of the floor is 50m².

Answer 2

Answer:

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