A rectangle has a perimeter of 30 units and its dimensions are whole numbers. What is the maximum possible area of the rectangle in square units?
30/4 =7.5. Round this up to a whole integer =8 - this is one side of the rectangle. Call it Length
[30 - (8 x 2)] = [30 - 16] / 2 =14 / 2 =7 - this is the other side of the rectangle. Call it Width.
Area = L x W = 8 x 7 = 56 Units^2-maximum area of a rectangle of 30-unit perimeter.