Question

An architect draws a blueprint of a house using the scale 1 inch equals 6 feet. If the kitchen measures 19 12 feet by 22 12 feet, what are the dimensions of the kitchen on the blueprint?

Answer 1

3.33in x3.83in

Explanation:

Hello there pm34080075, I'm going to assume you are referring to a 19 ft 12in by 22ft 12in. If this is incorrect I will write out the steps so it should be an easy fix. The simplest thing we can do is convert all of our units to inches and then set up a ratio to find the dimensions on the blueprint.

With what we are given it should turn out to be roughly:

19ft 12in= 240in

22ft 12in= 276in

From this we can set up the simple ratio of
`(1inch)/(72in)` to find out the appropriate values This can be done by solving for x in:

`(1 inch)/(72in)` x
`(x)/(240in)`

and

`(1 inch)/(72in)` x
`(x)/(276in)`

After this is done we find that the dimensions on the blueprint will come out to 3.33in x3.83in

Hope this helps!

-HM