Question

True or False?

-If two rectangles have equal areas, then they are congruent.
-If two squares have equal perimeters, then they have equal areas.

Answer 1

#1

That is false..one could have side lengths of 9 and 1, and the other could have side lengths of 3. Both the areas would be 9, but the figures would not be congruent.

#2

That is true, they must both have the same side length to have the same perimeter, therefore they will also have the same area.