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Understanding Area Formulas: Rectangles, Squares, and Parallelograms Explained

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This comprehensive guide explores the area formulas for rectangles, squares, and parallelograms. Discover how to calculate the area using the formula ( A = b times h ) (base times height) and learn about the unique properties of each shape, including cutting rectangles in half and observing the resulting triangles. Understand the applications of these formulas and practice with real-life examples. This resource is perfect for students and educators looking to deepen their understanding of geometry.

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Understanding Area Formulas: Rectangles, Squares, and Parallelograms Explained

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  1. Area Formulas

  2. Rectangle

  3. Rectangle What is the area formula?

  4. Rectangle bh What is the area formula?

  5. Rectangle bh What is the area formula? What other shape has 4 right angles?

  6. Rectangle bh What is the area formula? Square! What other shape has 4 right angles?

  7. Rectangle bh What is the area formula? Square! What other shape has 4 right angles? Can we use the same area formula?

  8. Rectangle bh What is the area formula? Square! What other shape has 4 right angles? Can we use the same area formula? Yes

  9. Practice! 17m Rectangle 10m Square 14cm

  10. Answers 17m Rectangle 10m 170 m2 Square 196 cm2 14cm

  11. So then what happens if we cut a rectangle in half? What shape is made?

  12. Triangle So then what happens if we cut a rectangle in half? What shape is made?

  13. Triangle 2 Triangles So then what happens if we cut a rectangle in half? What shape is made?

  14. Triangle 2 Triangles So then what happens if we cut a rectangle in half? What shape is made? So then what happens to the formula?

  15. Triangle 2 Triangles So then what happens if we cut a rectangle in half? What shape is made? So then what happens to the formula?

  16. Triangle 2 Triangles So then what happens if we cut a rectangle in half? What shape is made? bh So then what happens to the formula?

  17. Triangle 2 Triangles So then what happens if we cut a rectangle in half? What shape is made? bh 2 So then what happens to the formula?

  18. Practice! Triangle 14 ft 5 ft

  19. Answers Triangle 14 ft 35 ft2 5 ft

  20. Summary so far... bh

  21. Summary so far... bh

  22. Summary so far... bh

  23. Summary so far... bh bh

  24. Summary so far... bh bh 2

  25. Parallelogram Let’s look at a parallelogram.

  26. Parallelogram What happens if we slice off the slanted parts on the ends? Let’s look at a parallelogram.

  27. Parallelogram What happens if we slice off the slanted parts on the ends? Let’s look at a parallelogram.

  28. Parallelogram What happens if we slice off the slanted parts on the ends? Let’s look at a parallelogram.

  29. Parallelogram What happens if we slice off the slanted parts on the ends? Let’s look at a parallelogram.

  30. Parallelogram What happens if we slice off the slanted parts on the ends? Let’s look at a parallelogram.

  31. Parallelogram What happens if we slice off the slanted parts on the ends? Let’s look at a parallelogram.

  32. Parallelogram What happens if we slice off the slanted parts on the ends? Let’s look at a parallelogram.

  33. Parallelogram What happens if we slice off the slanted parts on the ends? Let’s look at a parallelogram.

  34. Parallelogram What happens if we slice off the slanted parts on the ends? Let’s look at a parallelogram.

  35. Parallelogram What happens if we slice off the slanted parts on the ends? Let’s look at a parallelogram.

  36. Parallelogram What happens if we slice off the slanted parts on the ends? Let’s look at a parallelogram. What will the area formula be now that it is a rectangle?

  37. Parallelogram What happens if we slice off the slanted parts on the ends? Let’s look at a parallelogram. What will the area formula be now that it is a rectangle? bh

  38. Parallelogram bh Be careful though! The height has to be perpendicular from the base, just like the side of a rectangle!

  39. Parallelogram bh Be careful though! The height has to be perpendicular from the base, just like the side of a rectangle!

  40. Parallelogram bh Be careful though! The height has to be perpendicular from the base, just like the side of a rectangle!

  41. Rhombus bh The rhombus is just a parallelogram with all equal sides! So it also has bh for an area formula.

  42. Practice! 9 in Parallelogram 3 in Rhombus 2.7 cm 4 cm

  43. Answers 9 in Parallelogram 27 in2 3 in Rhombus 2.7 cm 10.8 cm2 4 cm

  44. Let’s try something new with the parallelogram.

  45. Earlier, you saw that you could use two trapezoids to make a parallelogram. Let’s try something new with the parallelogram.

  46. Earlier, you saw that you could use two trapezoids to make a parallelogram. Let’s try something new with the parallelogram. Let’s try to figure out the formula since we now know the area formula for a parallelogram.

  47. Trapezoid

  48. Trapezoid

  49. Trapezoid So we see that we are dividing the parallelogram in half. What will that do to the formula?

  50. Trapezoid So we see that we are dividing the parallelogram in half. What will that do to the formula? bh

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