perplexus.info :: Shapes : Cinq Confusion

Cinq Confusion (Posted on 2014-07-10)

A farmer has two rectangular fields with a peculiar relationship. Both fields have integer dimensions. The corn field has five times the area of the hay field but the hay field has five times the perimeter of the corn field.

It is also known that the dimensions of the corn field differ by 1, and the shorter dimension of the hay field is less than 100.

Find the dimensions of the two fields.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Dimensions of the corn field: 249x250
Dimensions of the hay field: 5x2490
For an explanation, refer to the analytic solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Analytic attempt	Brian Smith	2024-01-25 13:15:19
computer solution	Charlie	2014-07-10 11:55:08
possible solution	broll	2014-07-10 11:26:17

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