Question

Of all rectangles that can be formed from thirty 4 x 4 squares, the one with the greatest perimeter has a perimeter of -----------?

Answer 1

Ignore the fact that each tile is 4x4, it could just as well be 1x1.
The important data is that we have 30 of them to be arranged in a rectangle, there are only 4 possible ways to do this.
Form a chart with s1 - side1, s2 - side2, p - perimeter

s1 s2 p
1 30 62
2 15 34
3 10 26
5 6 22

clearly 62 is the largest perimeter for a 1x1, so for our 4x4 it would be 4x62 or 248

Answer 2

OMG thank u so much