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수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] [대수...가 맞겠지?] 직사각형들
아인수타인 2020.08.27 05:14
조회 528
(1) 각 변의 길이가 정수인 직사각형 2개가 있다. 첫 번째 직사각형 넓이는 두 번째 직사각형 넓이보다 2배 크고, 두 번째 직사각형 둘레는 첫 번째 직사각형 둘레보다 2배 길다. 두 개의 직사각형으로 가능한 모양을 모두 찾아라. 답이 무한히 나온다면 변의 길이의 관계식을 써라.
(2) 각 변의 길이가 정수인 어떤 직사각형은 둘레는
(풀이 필수)
지금 바로
로그인 하면 내가 찜한 문제와 수행 평가를 한곳에서 볼 수 있어요!
, 넓이는 
이라고 한다. 이 직사각형으로 가능한 모양을 모두 찾아라. 답이 무한히 나온다면 역시 변의 길이의 관계식을 쓰면 된다.
