This scale of a building plan is 1:200. what’s the length in centimeters on the plane represents 5 m of the building
To find the length on the plan that represents 5 meters of the building, we can use the scale of 1:200.
First, let's define the ratio in terms of centimeters. Since the scale is 1:200, it means that 1 unit on the plan represents 200 units in real life. We can assume these units are in centimeters.
Therefore, we need to find how many centimeters represent 5 meters, which is 500 centimeters (1 meter = 100 centimeters, so 5 meters = 5 x 100 = 500 centimeters).
Next, using the scale of 1:200, we need to find the length on the plan that corresponds to 500 centimeters.
To do this, we can set up a proportion:
1 unit on the plan / 200 units in real life = x centimeters / 500 centimeters
To solve for x, we can cross-multiply and then divide:
1 * 500 = 200 * x
500 = 200x
x = 500 / 200
x = 2.5
So, 2.5 centimeters on the plan represents 500 centimeters (or 5 meters) of the building.