Maths Olympiad Prep

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Geometry Difficulty 4.5 AIME Find the answer

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.

Solution

The area of the parallelogram can be made arbitrarily small, so the smallest positive integer area is 1.

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