Answer:
[tex]9\text{ cm}[/tex]
Step-by-step explanation:
We can write the following proportion:
[tex]\frac{\text{old perimeter}}{\text{scaled perimeter}}=\frac{\text{old scale factor}}{\text{new scale factor}}[/tex]
We know that the original perimeter of the Pentagon is 921 feet. So, substitute 921 for "old perimeter."
We are going to use a scale of 3 cm = 307 feet. Since the 307 feet corresponds to the original perimeter, we are going to substitute 307 for "old scale factor" and 3 for "new scale factor."
This gives us:
[tex]\frac{921}{x}=\frac{307}{3}[/tex]
So, to find our scaled perimeter, we just need to find x.
Cross multiply:
[tex]307x=2763[/tex]
Divide both sides by 307:
[tex]x=9[/tex]
In other words, the total perimeter of Sawyer's drawing will be 9cm.
And we're done!
