Intuition for why the area of a parallelogram is A, equals, b, h

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.
But wait! Why are the formulas the same? To see, move the dot right:
Genius! You made the parallelogram into a rectangle.
Key intuition: Every parallelogram can be made into a rectangle, which is why we use the same formula to find the area of a parallelogram and a rectangle.

Practice problem 1

Find the area of the parallelogram.
Use the slider to help you remember the formula.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
square units

Practice problem 2

Find the area of the parallelogram.
Use the slider to help you remember the formula.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
square units