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Which Quadrilateral Has A Greater Area?

Directions: Which quadrilateral has a greater area? Quadrilateral A has its perimeter equal to 44 units.  Quadrilateral B has the sum of its interior angles equal to 360 degrees.

Hint

Hint

What is the greatest possible area for a quadrilateral with a perimeter of 44 units?  What is the greatest possible area for a quadrilateral whose interior angles have a sum of 360 degrees?

Answer

Answer

This may appear to be a trick question, but if students have conceptual understanding of quadrilaterals, they should know that all quadrilaterals have the sum of their interior angles equal to 360 degrees so we don’t have enough information to determine which quadrilateral has a greater area.

Source: Robert Kaplinsky

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4 comments

  1. Since angles tell you about shape and perimeter tells you about size it would be perhaps a more exciting problem if you gave then 2 or even 3 angle measures for quad B

  2. Ryan Bollettino

    Or perhaps, ask what is the greatest possible area for a quadrilateral with a perimeter of 44 units?

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