Math CentralQuandaries & Queries


Question from Dale, a student:
i need to draw an object that has an area of 64cm squared and a perimeter of 64 cm. Can you help me out......


  1. Approach 1 (elementary) Start with something that has the right area and too little perimeter (say a big square). Then find a way to make the edge longer while keeping the area the same - put in some detours!

  2. Approach 2 (advanced) To do it using a rectangle:

    Let the width be W. If the perimeter is 64, what is the height?
    (draw and label a picture if this helps)
    What is the area in terms of W? Set this equal to 64.

    Solve this equation for W using factoring, completing the square, or the quadratic formula.

Good hunting!


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