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Learn Area Calculation with Squares and Formulas

This presentation explains how to calculate the area of various figures, including squares, rectangles, parallelograms, triangles, trapezoids, and circles, using squares and formulas. It also provides examples and practice problems.

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Learn Area Calculation with Squares and Formulas

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  1. Presentation on Area

  2. Square, Rectangle andParallelogram

  3. Area is just counting the squares found inside a figure.

  4. Areais counting the squares found inside the figure. There are 4 squares in this figure. It is for this reason that the area in this figure is 4 square units.

  5. Let’s try this! Remember: Areais counting the squares found inside the figure. There are 36 squares in this figure. It is for this reason that the area of this figure is 36 square units .

  6. Now, formulas are created so we don’t get tired counting the squares. Height = 4 Height Width Side = 2 Side Base = 2 Base = 9 Length Area = base x height Area = 2 x 2 Area = 9 x 4 Area = 4 Square Units Area = 36 Square Units

  7. A = b x hA = 6 x 4A = 24 square units Now, it will be easier to see that if we turn this parallelogram into a rectangle!

  8. We have turned the parallelogram into a rectangle. Now, it is clear that the area is 24 square units.

  9. Try solving the area of the following!

  10. 8 10 cm 15 cm 5 ft 4 ft 12 ft Area = 64 square units Area = 150 square cm Area = 48 square ft. Area = 12 square units

  11. Good job!!! Let’s go to the next!!!

  12. Triangle and Trapezoid

  13. Now, let us derive the formula for the area of a triangle based on the area of this rectangle. Area = base x height 2

  14. A triangle is always half of a parallelogram. By the way, a rectangle is a parallelogram! It is for this reason that the area of a triangle isb x h2 It is for this reason that the area of a triangle is b x h2

  15. Try solving the area of the following!

  16. 7 12 6 9 5cm 3 cm 11 in 10in Area = 42 square units Area = 27 square units Area = 7.5 square cm Area = 55 square in

  17. Did you know that a trapezoid has the same formula as that of a triangle? Watch this!!! Area = base x height 2

  18. The only problem we have is that in a trapezoid, there are 2 bases. + So, the whole base, is actually the sum of base 1 and base 2. Area (b1 + b2) base x height = 2 Base 1 Height Base Base 2 Base 1

  19. Try solving the area of the following!

  20. 2 3 4 4 3 6 4 yd 3 yd 10 yd 4 ft 2 ft 14 ft Area = 9 square units Area = 15 square units Area = 21 square yd Area = 18 square ft

  21. Remember:Area is just counting squares inside a figure! You have done a great job!

  22. The Circle

  23. Some mathematicians would try to approximate the area of a circle by directly counting the squares in it! Watch this! Even for circles, area can be solved by just counting the squares inside it!

  24. Let us try to approximate the area of this circle by directly counting the number of squares inside it. Please remember, we are only approximating! approximating!

  25. 26 25 1 2 1 2 3 4 5 6 7 3 4 5 6 8 10 11 12 14 13 7 8 10 11 12 15 16 17 18 19 20 21 14 15 16 17 18 13 22 23 24 25 26 27 28 19 20 21 22 23 24 28 27 Count with me! , , , , , , , , 9 , , , , , , 9 , , , , , , , , , , , , ,

  26. 26 25 28 27 So, there are about 28 squares in here. So, the area of this circle is approximately 28 square units! That was too much work! Now, let us apply the formula to shorten our task! 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 13 19 20 21 22 23 24

  27. radius Height radius Base

  28. There about 3 squares with sides equal to the radius, within a circle. radius radius Area = r x r x 3.14orArea = r2 p

  29. Remember that the area of this figure is about 28 sq. units. Let us apply the formula and see if we are close! A = r x r x 3.14 Or A = r2 p

  30. 3 3 A = r x r x 3.14 A = 9 x 3.14 A = 28.26 sq. units Well, we are very close! 28.26 ≈ 28 sq. units

  31. Now, try this!

  32. Use p = 3 2 3 cm 5 in Area = 12 square units Area = 27 square cm Area = 75 square in

  33. Well done!!! Now, let’s try this next challenge!!!

  34. 1 2 cm 10 in Now, use p = 3.14 Area = 3.14 square units Area = 12.56 square cm Area = 314 square in

  35. You have done an amazing job! I hope you have learned a lot today! Remember:Area is just counting squares inside a figure and formulas are created to make our life easier! Bye and thank you!!!

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