Answer:
The corresponding side length is 8 inches
Explanation:
Similar Shapes
Two shapes are similar if all of their side lengths are in the same proportion. For example, triangle 1 has sides of 3-4-5 and another similar triangle has sides of 15-20-25. Note all their lengths are proportional with a scale factor of 5.
We are given the perimeter of figure A Pa=24 inches and the perimeter of figure B Pb=36 inches. The scale factor can be obtained as 36/24=3/2.
If one of the lengths of figure B is 12 inches, then the corresponding length for figure A is 12/(3/2) = 8 in.
The corresponding side length is 8 inches