Let L = Length and W = Width and let width be the longer side such that L:W = 5:6
Perimeter = 2L + 2W = 2 (L + W) and W = 7.2 (given)
The length is (5/11)(L + W) and the width is (6/11)(L + W)
Then W = (6/11)(L + 7.2) = 7.2 Then L = 6 and W = 7.2
You can find the other parameters with this information!