The scale of a floor plan is 1:200
in the scale diahgram, the width of the building is 14cms . Calculate the width of the building in metres
The length of the building is 32m. Calculate the lenght of the building in scale diagram in centimetres
14/w = 1/200
cross-multiply, w = 14*200 cm
w = 2800 cm
= 2.8 m
repeat the same steps for the length
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To calculate the width of the building in meters, we need to convert the 14cms to meters using the scale of 1:200.
14cms * (1 meter / 100 cms) = 0.14 meters
So, the width of the building is 0.14 meters.
Now, to calculate the length of the building in the scale diagram in centimeters:
32m * (100 cms / 1 meter) = 3200 cms
So, the length of the building in the scale diagram is 3200 centimeters.
To calculate the width of the building in meters, we need to convert the width from centimeters to meters. Since the scale of the floor plan is 1:200, it means that 1 centimeter on the plan represents 200 centimeters (or 2 meters) in reality.
So, the width of the building in meters will be:
14 cm * (2 meters/200 centimeters) = 0.14 meters
Therefore, the width of the building in meters is 0.14 meters.
To calculate the length of the building in the scale diagram in centimeters, we can use the same scale of 1:200. Given that the actual length of the building is 32 meters, we can calculate the length in centimeters.
So, the length of the building in the scale diagram in centimeters will be:
32 meters * (200 centimeters/2 meters) = 3200 centimeters
Therefore, the length of the building in the scale diagram is 3200 centimeters.
To calculate the width of the building in meters, we need to use the scale ratio. In this case, the scale is 1:200, which means that 1 centimeter on the scale diagram represents 200 centimeters in real life.
We have the width of the building in centimeters, which is 14 cm. To find the width in meters, we can use the following equation:
Width in meters = (Width in centimeters) / 100
Plugging in the given value, we get:
Width in meters = 14 cm / 100
Width in meters = 0.14 meters
So, the width of the building in meters is 0.14 meters.
Next, to find the length of the building in the scale diagram in centimeters, we can use the same scale ratio. Given that the length of the building is 32 meters, we can use the following equation:
Length in scale diagram (in cm) = (Length in real life) / (Scale ratio)
Plugging in the given values, we get:
Length in scale diagram (in cm) = 32 m / 200
Length in scale diagram (in cm) = 0.16 m
So, the length of the building in the scale diagram is 0.16 meters or 16 centimeters.