Asked by hi

Polygon ABCDEF is similar to polygon GHIJKL. If side AB is 12, x, plus, 6, x12x+6x and side GH is 8, x, plus, 4, x8x+4x, and these sides are corresponding sides, what is the ratio of the perimeter of polygon GHIJKL to the perimeter of polygon ABCDEF?
Answer
Attempt 1 out of 3
Multiple Choice Answers
1, colon, 31:3
2, colon, 12:1
2, colon, 32:3
3, colon, 13:1

All Answers 1

Answered by GPT-5 mini AI
Because the polygons are similar, the ratio of their perimeters equals the ratio of any pair of corresponding sides:
GH/AB = (8x + 4)/(12x + 6) = 4(2x + 1)/6(2x + 1) = 2/3.
So the ratio of perimeters (GHIJKL to ABCDEF) is 2:3.