2016 AMC 12B Problem 9
Below is the professionally curated solution for Problem 9 of the 2016 AMC 12B, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2016 AMC 12B solutions, or check the answer key.
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Difficulty rating: 1440
9.
Carl decided to fence in his rectangular garden. He bought fence posts, placed one on each of the four corners, and spaced out the rest evenly along the edges of the garden, leaving exactly yards between neighboring posts. The longer side of his garden, including the corners, has twice as many posts as the shorter side, including the corners. What is the area, in square yards, of Carl's garden?
Solution:
Let the shorter side have posts, so the longer side has Counting all posts and subtracting the four corners counted twice, giving The shorter side has posts, or yards, and the longer side has posts, or yards. The area is
Thus, the correct answer is B.
Problem 9 in Other Years
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