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

Answer:

21.25ft

Step-by-step explanation:

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

$\dfrac{2in}{5ft}=\dfrac{8.5in}{x}$

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

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