Question

The floor plan drawing of a square and a rectangular room is made using the same scale.The plan shows the area of the floor of the rectangular room is 12 sq cm for the actual area of 24 sq m.What is the area of the floor of the square room in the plan if the actual side of the floor of the square room is 6 m?


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Answer 1

Step-by-step explanation:

On a floor plan drawn at a scale 1:100, the area of a rectangular room is 30 cm^2. What is the actual area of the room?

Thanks for A2A Senthil Kumar P

The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground.

As you had mentioned the scale is 1:100.

It means 1 unit on map is equal to 100 units on ground.

Now,

Area = Length x Breadth

So lets assume ( you can assume any digit but the multiplication should be 30 only )

Length = 30 Cm

Breadth = 1 Cm

After applying the scale ( 1 : 100 )

Length = 30x 100 = 3000 Cm

1 m = 100 Cm

Length = 3000 Cm = 30 m

Breadth = 1 x 100 = 100 Cm

1 m = 100 Cm

Length = 100 Cm = 1 m

Now the Area will be

Area = Length x Breadth

= 3000 x 100 = 300000 SqCm

or

= 30 x 1 = 30 SqM