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

Answer:

see the procedure

Step-by-step 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

$\frac{1}{30}=\frac{x}{60}\\\\x=\frac{60}{30}\ in$

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