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.

The second field seem to have a peculiar shape:

250*249=62250 = 5(5*2490)

(2*250+2*249)*5 = 4990 = 2*2490+2*5

Posted by broll on 2014-07-10 11:26:17