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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.

Explanation:

Step1: Calculate perimeter of Figure B

$P_B=12 + 9+9 + 5=35$

Step2: Set up proportion

Let $P_A$ be perimeter of Figure A. The proportion is $\frac{P_A}{P_B}=\frac{7}{2}$, so $P_A=\frac{7}{2}P_B$.

Step3: Substitute and solve

$P_A=\frac{7}{2}\times35 = 63$

Answer:

63