Students construct rectangles with a fixed perimeter. How many different rectangles can you make? (Whole number for side lengths) What is the area of each of your rectangles? Which one has the largest area?
Calculate the perimeter and area of rectangles using familiar metric units. ACMMG109
Length, width, area, perimeter
About the Lesson
Students construct rectangles with a fixed perimeter. Suppose the perimeter is 12cm, what side lengths are possible, using whole numbers? For each of the possible rectangles, which one has the largest area? What if the perimeter was changed to 16cm? Which one of these has the largest area? Can you generalize this solution?
Documents include Teacher notes, curriculum content, worksheets, assessment tasks and solutions.