Question

The blueprints for a home are a 110 scale drawing. If the actual living room is 10 feet by 15 feet, what is the area of the room on the blueprint?

Answer 1

The awnser is 4.25. 10+15=25 110/25=4.25

Answer 2

`in feet: 0.012ft^(2) \\in inches: 1.78in^(2)`

Explanation:

First, using the scale of the drawings, the actual lengths of the living room on the drawing can be found. The scale states that every unit on the drawing is 110 times larger in actuality.

New measurements are found by dividing by 110:

`(10)/(110) =0.09091ft\\(15)/(110) =0.13636ft`

Calculate Area:

`A=l*w\\A=0.09091*0.13636\\A=0.0124ft^(2)`

To Calculate the Area in a more appropriate unit, the length can be found in terms of inches, by multiplying by 12.

`0.09091*12=1.091in\\0.13636*12=1.636in`

In which case the area is:

`A=1.091*1.636\\A=1.78in^(2)`