To find the area you will need to begin with the information about the perimeter. You will use the formula P = 2l + 2w. You will replace what we know in this formula making it 72 = 2l + 2 (1/3l). You will replace the width with the information we know about the width. Simplify the expression on the right to make a new equation 72 = 2 2/3 l. Solve for the length by dividing both sides by 2 2/3. When you divide 72 by 2 2/3 you get 27 inches as your answer. This is the length. Once you know the length, you can take 1/3 of it (1/3 x 27) to get the width of 9 in. Now that you know the length and the width, you will multiply these together (27 in. x 9 in) to get an area of 243 square inches!
Opportunity cost is the benefit given up for choosing something else. Since the relationship is linear, 200 pounds of cabbage is to 100 pounds of potatoes the the relationship is 2 : to 1 that is 2 pounds of cabbage to 1 pound of potatoes. The opportunity cost of producing additional pound of potatoes is 2 pounds of cabbage.