In a plan of a house the scale of the length is shown as 1:50, calculate the length of a room which is 8.5 cm on the plan
L = 50Ft./cm * 8.5cm = ___ Ft.
To calculate the actual length of the room based on the scale provided, follow these steps:
Step 1: Determine the ratio from the scale
The given scale is 1:50, which means that every 1 unit on the plan represents 50 units in real life.
Step 2: Convert cm to the corresponding unit used in the scale
Since the length of the room on the plan is given in centimeters (cm), we need to convert it to the unit used in the scale. In this case, we'll convert cm to the same unit as the ratio, which is unknown from the information given, but we'll call it "x".
Step 3: Set up a proportion to find the actual length
We can set up a proportion to find the actual length of the room:
1 (unit on the plan) / 50 (actual unit) = 8.5 (cm on the plan) / x (actual length)
Step 4: Solve the proportion
Cross-multiply and solve for x:
1 * x = 50 * 8.5
x = 50 * 8.5
Step 5: Calculate the actual length
Calculate the value of x using the equation obtained in step 4.
x = 425
Therefore, the actual length of the room is 425 units (the specific unit used in the scale, e.g., meters, inches, etc.).
If x is in cm, then
8.5/x = 1/50