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Exploring Dimensions: Squares and Rectangles

Learn about angles, measurements, and calculations involving squares and rectangles. Find lengths and angles in various scenarios. Understand properties of geometric shapes. Explore calculations in squares and rectangles with given dimensions.

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Exploring Dimensions: Squares and Rectangles

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  1. More On Squares and Rectangles Square A B 900 divided by 2. 450 b 450 a C D If you divide the right angle into 2 equal angles, how wide is per angle? 450

  2. More On Squares and Rectangles Rectangle E A B 450 900 divided by 2. b 450 a C D If you divide the right angle into 2 equal angles, how wide is per angle? 450

  3. More On Squares and Rectangles Square 300 900 divided by 3. 300 t s r 300 If you divide the right angle into 3 equal angles, how wide is per angle? 300

  4. More On Squares and Rectangles Rectangle 300 900 divided by 3. 300 b s r 300 If you divide the right angle into 3 equal angles, how wide is per angle? 300

  5. More On Squares and Rectangles This is a 900 angle. ? 60o 30o

  6. More On Squares and Rectangles This is a 900 angle. 20o 30o ? 40o

  7. More On Squares and Rectangles 25o 20o ? 45o

  8. A More On Squares and Rectangles 45o D B C ABCD is a square. 900 a. Find ADC

  9. A More On Squares and Rectangles This is like having a money of P90. After spending P45, how much is left to you? 45o D B 450 We subtract angle ADB from angle ADC. C ABCD is a square. b. Find BDC ADB ? BDC = 450 = 900 - 450 = 450 = 900 ADC

  10. More On Squares and Rectangles This is like having a money of P90. After spending P55, how much is left to you? 55o b 350 We subtract 550 from 900. a. Find b ? b = 900 - 550 550 = 350 900

  11. More On Squares and Rectangles This is like having a money of P90. After spending P27 and P13, how much is left to you? 500 27o We subtract 270 and 130 from 900. c 13o a. Find c = 900 – 270 – 130 ? C 130 270 = 500 900

  12. More On Squares and Rectangles Measurements 3 cm 3 cm 3 cm

  13. More On Squares and Rectangles Measurements 3 cm 3 cm 3 cm

  14. Total Length Unknown Given Part More On Squares and Rectangles Measurements Example 1 4 cm 10 - 6 6 cm ? cm 10 cm

  15. Total Length Unknown Given Part 6 cm More On Squares and Rectangles Measurements Example 2 10 - 6 4 cm ? cm 10 cm

  16. Total Length Unknown Given Part 8 cm More On Squares and Rectangles Measurements Example 3 If you are looking for a horizontal line, consider only the given horizontal lines. 7 cm 15 - 8 ? cm 15 cm

  17. If you are looking for a horizontal line, consider only the given horizontal lines. Total Length Unknown Given Part More On Squares and Rectangles Measurements 20 cm L K Example 4 20 cm 30 cm 20 cm 46 - 20 26 cm I J 15 cm ? 20 cm G F 46 cm Find the length of IJ.

  18. Total Length Unknown Given Part More On Squares and Rectangles Measurements Example 5 F 3 cm 1 cm E 3 cm C D 3 cm 1 cm 3 cm 2 cm 1 cm 3 cm ? cm B A 4 cm 3 + 1 Find the length of AB

  19. Total Length Unknown Given Part More On Squares and Rectangles Measurements Example 6 7 cm 4 cm 4 cm 7 cm 4 cm 4 cm 4 + 7 + 4 15 cm Find the length of PQ.

  20. Total Length Unknown Given Part More On Squares and Rectangles Measurements Example 7 5 cm 2 + 2 + 1 1 cm 2 cm 2 cm 1 cm 2 cm 2 cm 1 cm 2 cm 2 cm Find the length of MT

  21. Total Length Unknown Given Part 3 cm More On Squares and Rectangles Measurements Example 8 If you are looking for a vertical line, consider only the given vertical lines. ? cm 8 - 3 5 cm 8 cm

  22. If you are looking for a vertical line, consider only the given vertical lines. Total Length Unknown Given Part More On Squares and Rectangles Measurements Example 9 F 3 cm 1 cm E 3 - 2 1 cm ? cm C D 3 cm 2 cm 2 cm 2 cm 2 cm B A Find the length of ED.

  23. Total Length Unknown Given Part More On Squares and Rectangles Measurements Example 10 1 cm 1 cm 2 cm 3 - 1 Find the length of QR.

  24. Total Length Unknown Given Part More On Squares and Rectangles Measurements Example 11 11 cm 14 - 3 3 cm 3 cm Find the length of UV.

  25. Total Length Unknown Given Part More On Squares and Rectangles Measurements Example 12 20 cm L K 30 cm 30 cm 30 cm 30 + 15 45 cm ? I J 15 cm 15 cm 15 cm G F 46 cm Find the length of GL

  26. Total Length Unknown Given Part 6 cm More On Squares and Rectangles Measurements Review Remember this? 10 - 6 4 cm ? cm 10 cm

  27. Total Length Unknown Given Part 8 cm More On Squares and Rectangles Measurements Example 13 1st step – know the length of this part Now, we will change the data and the unknown. This will require 2 steps. 4 cm 10 - 4 6 cm ? cm 10 cm

  28. Total Length Unknown Given Part 8 cm More On Squares and Rectangles Measurements 2nd step – know the length of this part. Example 13 4 cm 6 cm 8 - 6 2 cm ? cm 10 cm

  29. More On Squares and Rectangles Measurements 4 cm 7 cm G 6 cm F Find the length of GF. 3 cm

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