Question

the perimeter of a paved area being built at a playground is going to be 46 meters. if the length and width are each a whole number of meters, what should the length and width of the area be to cover the greatest possible area? draw a picture and make an organized list to solve

Answer 1

First, a square gives the greatest area, but the length and width are whole numbers. 4 doesn't go equally into 46, but since it does in 48, the results should be a close to 12 X 12 as possible, so the size is 12 meters by 11 meters
2l + 2w =p
2(12) + 2(11) = p
24 + 22 = 26