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The perimeter and area of a shape do not provide sufficient information. With a given perimeter, the largest area that you can enclose is a circle, but you can then flatten the circle to reduce its area. Similarly, in terms a of quadrilaterals, a square has the largest area, but it can be flexed into a rhombus whose area can be made as small as you like.

All that can be said is that there is no shape with a perimeter of 12 units whose area is 12 square units.

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Q: How to draw a shape with a perimeter that is 12 or 15 or 18 or 21 and the area is 12?
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