Stage: 3 Challenge Level: 
This 2 x 4 rectangle has an area of 8 sq units and a perimeter of 12 units.
Numerically the area is less than the perimeter.
Can you find some more rectangles where the area, A, is numerically less than the perimeter, P?
Can you find some rectangles where P is less than A?
Can you find some rectangles where P and A are numerically the same?
Can you explain your strategy for finding them?
Perimeters. Area. Creating expressions/formulae. Making and testing hypotheses. Short problems. Pythagoras' theorem. Squares. Rectangles. Visualising. Circles.
Published February 2009.
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