Figure A has a perimeter of 24 inches. Figure B has a perimeter of 36 inches and one of its side lengths is 12 inches. Find the missing corresponding side length.

The corresponding side length is 8 inches

Step-by-step 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