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HMMT 十一月 2015 · 冲刺赛 · 第 3 题

HMMT November 2015 — Guts Round — Problem 3

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

  1. [ 5 ] 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.
    HMMT November 2015, November 14, 2015 — GUTS ROUND
    Organization Team Team ID#

英文原题

[ 5 ] 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.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
HMMT November 2015, November 14, 2015 — GUTS ROUND
Organization Team Team ID#

解析

英文解析

  1. [ 5 ] 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.
    Proposed by: Yang Liu
    Answer: 1
    The area of the parallelogram can be made arbitrarily small, so the smallest positive integer area is 1.