1 / 21

Area of Parallelograms

Area of Parallelograms. Re-cap. What is the formula for area of rectangle? What is the formula for the surface are of a rectangle? What is the formula for the volume of a rectangular prism?. Goal. Find the area of parallelograms. Key Vocabulary. Base of a parallelogram

albertaaguirre
Download Presentation

Area of Parallelograms

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Area of Parallelograms

  2. Re-cap... • What is the formula for area of rectangle? • What is the formula for the surface are of a rectangle? • What is the formula for the volume of a rectangular prism?

  3. Goal • Find the area of parallelograms.

  4. Key Vocabulary • Base of a parallelogram • Height of a parallelogram • Parallelogram • Rhombus

  5. Parallelogram • A parallelogram is a quadrilateral where the opposite sides are congruent and parallel. • A rectangle is a type of parallelogram, but we often see parallelograms that are not rectangles (parallelograms without right angles).

  6. The Base of a Parallelogram • Either pair of parallel sides of a parallelogram are called the bases of the parallelogram. base base base base

  7. The Height of a Parallelogram • The shortest distance (perpendicular distance) between the bases of a parallelogram is called the height of the parallelogram. • The height of the parallelogram is always perpendicular to the bases.

  8. Area of Parallelogram What is the area of this parallelogram? h=height b=base

  9. Area of Parallelogram What is the area of this parallelogram? h=height b=base CUT HERE!

  10. Area of Parallelogram What is the area of this parallelogram? h=height b=base MOVE TO HERE!

  11. Area of Parallelogram It’s the same as the area of this rectangle h=height b=base

  12. Area of Parallelogram Arearectangle= base x height (perpendicular height h) h=height b=base

  13. Area of Parallelogram • Words: Area =(base)(height) • Symbols: A = bh h b Very Important: The height must be perpendicular to the base.

  14. Area of Parallelogram Areaparallelogram = base x height (perpendicular height h) h=height b=base

  15. Find the area of the rhombus. b. a. 1 1 1 1 1 2 2 2 2 2 Example 3 Find the Area of a Rhombus SOLUTION SOLUTION a. b. A=d1d2 A=d1d2 = (6 + 6)(9 + 9) = (14)(10) = 70 = (12)(18) =108 The area of the rhombus is 70 square inches. The area of the rhombus is 108 square inches.

  16. Practice… • Words: Area =(base)(height) • Symbols: A = bh 9.2 cm 12.5cm Very Important: The height must be perpendicular to the base.

  17. Practice...

  18. A =bh Formula for the area of a parallelogram 78=12h Substitute 78 for A and 12 for b. 6.5 =h Divide each side by 12. The parallelogram has a height of 6.5 feet. ANSWER Example 2 Find the Height of a Parallelogram Find the height of the parallelogram given that its area is 78 square feet. SOLUTION

  19. Practice...Find the height Area= 16m2 4cm

  20. Practice... Area= 60cm ? cm 12cm

  21. Wrap up... • What’s the formula for area of a parallelogram? • How would you find the height of a parallelogram when given the area and base?

More Related