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storchak [24]
3 years ago
14

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?
Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0

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!

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Step-by-step explanation:

Step 1: Use the Pythagorean theorem to solve this equation

    1. Orignal eqaution: (a + 2)² + (a - 5)² = (a + 3)²

    2. Expand (a + 2)² + (a - 5)² which will give us 2a² - 6a + 29

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    5. Hence, the answer is 10 or 2

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