Mrs. Winston has a rectangular dinner table that is 45 inches long and 36 inches wide. She wants to make a rectangular tablecloth for the table and needs to determine the amount of cloth to buy. She wants the tablecloth to cover the entire table, but she wants to have at least an additional 6 inches on each side so the tablecloth drapes over the table. She is also planning on adding a lace border to the tablecloth, and based on the amount of lace she currently has in her possession, she wants the tablecloth to have a perimeter of at most 250 inches. Complete the table below with the values of the smallest and largest areas, in square inches, that the tablecloth could be while still satisfying the given constraints.
Quantity
smallest area ? square inches
Value
largest area ?square inches