Asked by Max
Of all rectangles that can be formed from thirty 4 x 4 squares, the one with the greatest perimeter has a perimeter of -----------?
Answers
Answered by
Reiny
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
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
Answered by
mehj
OMG thank u so much