A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height is 25 centimeters.
What is the length of the building on the scale drawing in centimeters?
80 * (25/125) = 80/5 = 16
Just set up a simple proportion:
x cm/80 m = 25 cm / 125 m
divide out the units and simplify
x/80 = 25/125
x/80 = 1/5
x = 80/5 = 16 <---- This also explains the calculation shown by "anonymous"
A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height is 25 centimeters.
What is the length of the building on the scale drawing in centimeters?
Thank you Anonymous and math helper!!!i checked my answers against yours!!!
A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height is 25 centimeters.
What is the length of the building on the scale drawing in centimeters?
Well, if the height of the building is 25 centimeters on the scale drawing, then we can use that to figure out the scale factor.
Let's set up a proportion:
125 meters (actual height) is to 25 centimeters (scale drawing height) as 80 meters (actual length) is to x centimeters (scale drawing length).
Using cross-multiplication, we can solve for x:
125 * x = 80 * 25
x = (80 * 25) / 125
x = 16 centimeters
So, the length of the building on the scale drawing is 16 centimeters. But, don't worry, the actual building is much larger in real life!
To find the length of the building on the scale drawing in centimeters, we need to determine the scale factor.
The scale factor is the ratio of the length of a side on the scale drawing to the actual length of that side in the real world. In this case, we're given the height of the building, which is 125 meters in reality, and its corresponding length on the scale drawing, which is 25 centimeters.
To find the scale factor, divide the length on the scale drawing by the actual length:
Scale factor = Length on the scale drawing / Actual length
Scale factor = 25 cm / 125 m
We have different units here (centimeters and meters), so we need to convert them to the same unit before calculating:
1 meter = 100 centimeters
125 meters = 125 * 100 = 12,500 centimeters
Now we can calculate the scale factor:
Scale factor = 25 cm / 12,500 cm
Simplify the scale factor:
Scale factor = 1 / 500
This means that 1 centimeter on the scale drawing represents 500 centimeters in reality.
To find the length of the building on the scale drawing in centimeters, multiply the actual length of the building by the scale factor:
Length on the scale drawing = Actual length * Scale factor
Length on the scale drawing = 80 m * 500
Convert meters to centimeters:
80 m = 80 * 100 = 8,000 cm
Now, calculate the length on the scale drawing:
Length on the scale drawing = 8,000 cm * 500
Length on the scale drawing = 4,000,000 cm
Therefore, the length of the building on the scale drawing is 4,000,000 centimeters.