In the scale used on a blueprint, 1
4 inch represents 5 feet.
On the blueprint, what is the height of a building with an actual height of 55 feet?
Responses
A
11 1
2 in.
11 1 2 in.
B
2 3
4 in. 2 3 4 in.
C
3 3
4 in.
3 3 4 in.
D
5 1
4 in.
To find the height of the building on the blueprint, you need to set up a proportion.
The scale on the blueprint is 1/4 inch represents 5 feet.
Let x be the height of the building on the blueprint.
Setting up the proportion:
1/4 inch / 5 feet = x / 55 feet
Cross multiplying:
5 feet * x = 1/4 inch * 55 feet
Simplifying:
5x = 55/4 inch
To solve for x, divide both sides by 5:
x = (55/4 inch) / 5
Simplifying further:
x = 11/4 inch
Therefore, the height of the building on the blueprint is 11 1/4 inches.
The correct response is A) 11 1/2 in.