Question: what is the maximum area of a rectangle with a perimeter of 120?
Answer: If a rectangle has a perimeter of 120, 2 of its sides will always add up to 60. The longest possible side is an integer of 59 which leaves 1 for the adjacent and 59 x 1 = 59, that's the small end.. 60/2 = 30 and 30 x 30 = 900 and that is the large end.