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5. if the scale factor of figure a to figure b is 7:2, find the perimet…

Question

  1. if the scale factor of figure a to figure b is 7:2, find the perimeter of figure a. x= (decimal is.5) type your answer...

Explanation:

Step1: Calculate the perimeter of figure B

The perimeter of figure B is \(5 + 9+9 + 12=35\).

Step2: Use the scale - factor to find the perimeter of figure A

Given the scale factor of figure A to figure B is \(7:2\). Let the perimeter of figure A be \(x\).
We know that \(\frac{x}{35}=\frac{7}{2}\).
Cross - multiply: \(2x=35\times7\).
So \(2x = 245\).
Divide both sides by 2: \(x=\frac{245}{2}=122.5\).

Answer:

\(122.5\)