Question

BRAINLIEST ASAP AND 15 POINTS Sawyer is creating a scaled drawing of the pentagon for his social studies class. The Pentagon is a regular polygon with each side measuring 921 feet long. He plans to use a scale of 3 cm = 307 feet. What will be the total perimeter of the pentagon on sawyer's drawing?

Answer 1

Answer:

$9\text{ cm}$

Step-by-step explanation:

We can write the following proportion:

$\frac{\text{old perimeter}}{\text{scaled perimeter}}=\frac{\text{old scale factor}}{\text{new scale factor}}$

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:

$\frac{921}{x}=\frac{307}{3}$

So, to find our scaled perimeter, we just need to find x.

Cross multiply:

$307x=2763$

Divide both sides by 307:

$x=9$

In other words, the total perimeter of Sawyer's drawing will be 9cm.

And we're done!