Question

Draw two different shapes with a perimeter of 16 units. What is the area of each shape?

Answer 1

Shape #1:  A square. 
Every side is  4  units long. 
The perimeter is  16  units.
The area is  16  square units.

Shape #2:  A rectangle.
The length is  7.9  units.
The width is  0.1  unit.
The perimeter is  16  units.
The area is  0.79  of a square unit.

Shape #3:  A circle.
The diameter is  (16/π)  units.  (about  5.093  units)
The perimeter (circumference) is 16 units.
The area is  (64/π)  square units.          (about  20.37  square units)

Answer 2

So, you will obviously have to do the drawing bit, but I can help with the rest. I would first recommend drawing a square with a side length of 4, which will give you a perimeter of 16. The formula for area in a square is s², where s is the side length. That means the area for the square is 4², or 16 units², just like the perimeter.

You can draw any shape you like for the second one, but I would suggest a rectangle with a length of 6 and a width of 2. Perimeter for a rectangle is P = 2L + 2w , and 2(6) +2(2) = 16. The area would then be the length times the width, or 2(6), which equals 12 units² for the second figure.