Problema Solution
A patio is to be built with 160 tiles. In how many different rectangular arrays can it be arranged?
Answer provided by our tutors
since 160 = 2*2*2*2*2*5 we will first find all the different divisors of 160:
1, 160, 2, 4, 8, 16, 32, 10, 20, 40, 80 thus we have 12 different rectangular arrays:
1X160
160x1
2x80
80x2
4x40
40x4
8x20
20x8
16x10
10x16
32x5
5x32