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Understanding Perimeter, Area, and Volume of Geometric Shapes

This resource covers the essential formulas for calculating the perimeter of a rectangle, the area of a parallelogram, and the volume of a box. It includes examples that illustrate how to apply these formulas to real-world problems, such as measuring the perimeter of a rectangle with given lengths, calculating the area of a parallelogram with specified dimensions, and finding the volume of a box based on its dimensions. With concise explanations and sample exercises, this guide is an excellent tool for mastering these fundamental geometric concepts.

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Understanding Perimeter, Area, and Volume of Geometric Shapes

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  1. Math 50 1.6 - More with Formulas

  2. Perimeter of a rectangle The formula for the perimeter of a rectangle is: ________________ (here, is length and is width)

  3. Perimeter of a rectangle The formula for the perimeter of a rectangle is: ________________ (here, is length and is width)

  4. Ex 1.A rectangle has a length of 19 meters and a width of 42 meters. Find the perimeter.

  5. Area of a parallelogram A parallelogram has ____ sides, and the __________________ sides are parallel.

  6. Area of a parallelogram A parallelogram has ____ sides, and the __________________ sides are parallel. 4

  7. Area of a parallelogram A parallelogram has ____ sides, and the __________________ sides are parallel. 4 opposite

  8. Area of a parallelogram The formula for the area of a parallelogram is: _________________ (here, is base and is height)

  9. Area of a parallelogram The formula for the area of a parallelogram is: _________________ (here, is base and is height)

  10. 12 in. 14 in. Ex 2.Find the area of the parallelogram.

  11. 12 in. 14 in. Ex 2.Find the area of the parallelogram.

  12. 12 in. 14 in. Ex 2.Find the area of the parallelogram.

  13. 12 in. 14 in. Ex 2.Find the area of the parallelogram.

  14. Ex 3.Suppose the area of a parallelogram is 72 square inches. If the height is 9 inches, find the base.

  15. Volume of a box (here, is length, is width, is height)

  16. Ex 4.The volume of a box is 336 cubic centimeters. If the length is 12 cm and the width is 7 cm, find the height.

  17. 4 ft 2 ft 5 ft 6 ft Ex 5.A strangely-shaped room is shown below. How many square feet of carpet will you need to carpet the room? 2 ft 14 ft

  18. 4 ft 2 ft 5 ft 6 ft Ex 5.A strangely-shaped room is shown below. How many square feet of carpet will you need to carpet the room? 2 ft 14 ft

  19. 4 ft 2 ft 5 ft 6 ft Ex 5.A strangely-shaped room is shown below. How many square feet of carpet will you need to carpet the room? 2 ft 14 ft

  20. 4 ft 2 ft 5 ft 6 ft Ex 5.A strangely-shaped room is shown below. How many square feet of carpet will you need to carpet the room? 2 ft 14 ft

  21. 4 ft 2 ft 5 ft 6 ft Ex 5.A strangely-shaped room is shown below. How many square feet of carpet will you need to carpet the room? 2 ft 14 ft

  22. 4 ft 2 ft 5 ft 6 ft Ex 5.A strangely-shaped room is shown below. How many square feet of carpet will you need to carpet the room? 2 ft 14 ft

  23. 4 ft 2 ft 5 ft 6 ft Ex 5.A strangely-shaped room is shown below. How many square feet of carpet will you need to carpet the room? 2 ft 14 ft

  24. 4 ft 2 ft 5 ft 6 ft Ex 5.A strangely-shaped room is shown below. How many square feet of carpet will you need to carpet the room? 2 ft 14 ft

  25. Summary Perimeter of rectangle: Area of a parallelogram: Volume of a box:

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