20.7k views
23 votes
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.

User Chaoyu
by
9.0k points

1 Answer

13 votes

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

User Gfyans
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories