Explanation
Correct answer: B.
Choice B is correct. Since triangles and are similar and the length of is times the length of , the length of each side of triangle is two times the length of its corresponding side in triangle . Therefore, the perimeter of triangle is two times the perimeter of triangle . Since the perimeter of triangle is , the perimeter of triangle is .
Desmos solution:
Note: Since corresponding sides double, the similar triangle's perimeter is also 2 times 20.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This is half, not two times, the perimeter of triangle .
Choice C
Choice C is incorrect. This is two times the perimeter of triangle rather than two times the perimeter of triangle .
Choice D
Choice D is incorrect. This is six times, not two times, the perimeter of triangle .