If two shapes have the same area and the same perimeter, are they are congruent?
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Step-by-step explanation:
If I have a fixed perimeter, I can make a table to show that as one side increases, the area increases until the side becomes 1/4 of the perimeter (and your rectangle becomes a square) - so if a rectangle has the same perimeter AND area, it has to be congruent.
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If you have a fixed perimeter, you can make a table to show that as one side increases, the area increases until the side becomes 1/4 of the perimeter (and your rectangle becomes a square) - so if a rectangle has the same perimeter AND area, it has to be congruent.
In simple words if the perimeter and area are same the shape has to be congruent as the increase will be shown and have to be same.
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