Question

John is building his daughter a doll house that is a miniature model of their house. The front of their house has a circular window with a diameter of 5 feet. If the scale factor for the model house is 1/30, make a sketch of the circular doll house window.

Answer 1

see the procedure

Explanation:

we know that

The scale factor of the model is 1/30

That means ----> 1 unit in the model represent 30 units in the actual

so

using proportion

Find out how much represent 5 ft in the model

Convert feet to inches

Remember that

`1\ ft=12\ in`

so

`5\ ft=5(12)=60\ in`

Let

x -----> the diameter of the circular window in the model house in inches

`(1)/(30)=(x)/(60)\\\\x=(60)/(30)\ in`

Simplify

`2\ in`

therefore

The diameter of the circular window in the model house is 2 inches

see the attached figure to better understand the problem