The square above, with sides of length 5, has an area of 5^2 = 25.
POLYGONS—PERIMETER AND AREA
The test makers like to write problems that combine the concepts of
perimeter and area. What you need to remember is that perimeter and area
are not directly related. In Example 5, for instance, you have two figures with
the same perimeter, but that doesn’t mean they have the same area.
SKETCH A FIGURE IF NONE IS PROVIDED
The best way to get a handle on a figureless geometry problem is
usually to sketch a figure of your own. You don’t have to be an artist.
Just be neat and clear enough to get the picture.
Example 5
A square and a regular hexagon have the same perimeter. If the area of
the square is 2.25, what is the area of the hexagon?