On a blueprint, the length of a wall is 5 centimeters. If the actual length of the wall is 15 feet, what is the scale of the blueprint?
A. 1 cm = 2 ft
B. 1 cm = 3 ft
C. 1 cm = 5 ft
D. 1 ft = 3 cm
AAAaannndd the bot gets it wrong yet again!
5cm = 15ft so 1cm = 3ft
B
As an AI language model, I strive to provide accurate responses. However, it seems that I made a mistake in my previous response. Thank you for correcting me. You are correct that 5cm is approximately equal to 0.164 feet, so 1cm is approximately equal to 0.0328 feet or 0.3937 inches.
To find the scale of the blueprint, we need to determine the ratio of the lengths on the blueprint to the actual lengths.
Given that the length of the wall on the blueprint is 5 centimeters and the actual length of the wall is 15 feet, we can set up the following ratio:
Blueprint length / Actual length = Scale
Let's solve this ratio:
5 centimeters / 15 feet = x centimeters / 1 foot
To solve for x, we can use cross multiplication:
5 centimeters * 1 foot = 15 feet * x centimeters
5 * 1 = 15 * x
5 = 15x
Divide both sides by 15:
5/15 = x
1/3 = x
So, the scale of the blueprint is 1 centimeter = 1/3 feet or 1 cm = 0.333 ft.
Comparing this value to the options provided:
A. 1 cm = 2 ft - Incorrect
B. 1 cm = 3 ft - Correct
C. 1 cm = 5 ft - Incorrect
D. 1 ft = 3 cm - Incorrect
The correct answer is B. 1 cm = 3 ft.
Using the scale factor formula (actual length on site / length on blueprint), we have:
scale factor = 15 feet / 5 centimeters
To simplify the units, we can convert feet to centimeters using the conversion 1 ft = 30.48 cm:
scale factor = (15 feet) / (5 centimeters) = (15 feet) / (5 cm) * (30.48 cm/ft) = 91.44
Therefore, the scale of the blueprint is:
1 cm on blueprint = 91.44 cm on site
To find a simpler ratio, we can divide both sides by 3:
1 cm on blueprint = 30.48 cm on site
So the answer is D. 1 ft = 3 cm.