Question

1. if the scale factor of figure a to figure b is 7:2, find the perimeter of figure a.

Explanation:

Step1: Calculate the perimeter of Figure B

The perimeter of a trapezoid is the sum of its side lengths. For Figure B, the side lengths are \(12\), \(9\), \(5\), and \(9\).

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

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

The scale factor of Figure A to Figure B is \(7:2\). Let \(P_A\) be the perimeter of Figure A and \(P_B\) be the perimeter of Figure B. We know that \(\frac{P_A}{P_B}=\frac{7}{2}\).
Since \(P_B = 35\), we can solve for \(P_A\) by cross - multiplying: \(P_A=\frac{7\times P_B}{2}\)
Substitute \(P_B = 35\) into the formula: \(P_A=\frac{7\times35}{2}=\frac{245}{2}=122.5\)

Answer:

The perimeter of Figure A is \(122.5\)