An architect uses a 75:1 scale when drawing building plans. He drew a room with dimensions of 3 3/4 inches and 5 1/2 inches. What are the dimensions of the actual room?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
Scale ratio of an architect's drawing plan: 75:1
Determine the actual dimensions of the room if the architect drew a room with dimensions of 3 ¾ inches and 5 ½ inches.
Solution:
Since we know that the ratio is 1 to 75, we will multiply the given dimensions by 75, in order to know the actual dimensions.
In order to make the solving easier, we will convert the fraction intro decimals
3 ¾ = 3 .75 inches
5 ½ = 5.5 inches
Now we can multiply the dimensions by 75 in order to determine the actual dimension.
= (3.75)(75)
= 281.25
=(5.5)(75)
= 412.5
The actual dimensions of the drawing is 281.25 by 412.5 (unit of measurement for actual drawing is not stated)