Question

Mrs. Lowndes was building a play house for her grandson.

The scale listed on the building blueprint was 2in = 5 ft.
What is the actual height of the playhouse if the height
of the drawing on the instructions was 8.5 inches.

•17 feet
•42.5
•21.25
•10

Answer 1

21.25ft

Explanation:

To solve for this, all you need to do is find a ratio proportional to the given. The given shows the following ratios:

`(2in)/(5ft)=(8.5in)/(x)`

All you need to do is solve for x. You can do this by first cross multiplying:

`(2in)/(5ft)=(8.5in)/(x)\\\\2in(x)=8.5in(5ft)\\\\2xin=42.5in/ft\\\\Divide\;both\;sides\;by\;2in\\\\(2xin)/(2in)=(42.5in.ft)/(2in)\\\\x=21.25ft`