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Problem 845
AMC 12 late, AIME early Geometry Difficulty 4.5 Find the answer HMMT November
A parallelogram has 2 sides of length 20 and 15. Given that its area is a positive integer, find the minimum possible area of the parallelogram.
A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.
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Official solution
The area of the parallelogram can be made arbitrarily small, so the smallest positive integer area is 1.
Source: Omni-MATH,
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