1 / 9

Area of Quadrilaterals and Triangles

Area of Quadrilaterals and Triangles. What is a quadrilateral?. Any polygon with four sides and four vertices (or corners) All sides must be straight. Area of square, rectangle, and parallelogram. Area is a measure of the amount of space contained inside a closed figure

aggie
Download Presentation

Area of Quadrilaterals and Triangles

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 Quadrilaterals and Triangles

  2. What is a quadrilateral? • Any polygon with four sides and four vertices (or corners) • All sides must be straight

  3. Area of square, rectangle, and parallelogram • Areais a measure of the amount of space contained inside a closed figure • The area of a square, rectangle, or parallelogram is the product of its base and height: • Area = base  height

  4. Find the area: • A = bh • A = 115 • A = 55 cm2 • Which measurement is the base? • 11cm • Which measurement is the height? • 5cm • A = bh • A = 6  4 • A = 24 in2

  5. The TRAPEZOID • The trapezoid is a quadrilateral with one pair of parallel sides that are opposites • The parallel sides are the “bases” • The non-parallel sides are the “legs” • The height is the distance between the bases

  6. Area of a Trapezoid • Since the bases are not the same length, we have to take the average of them to find the area • Average of bases = ½ (b1 + b2) • Next, multiply the average of the bases by the height to get the area Area of Trapezoid = ½ h(b1 + b2)

  7. Find the area: • Find the average of the bases • ½ (b1 + b2) • ½ (9 + 5) • = 7 • Multiply by the height • 6  7 = 42 in2

  8. Triangles • A triangle is half of a rectangle or half of a parallelogram • If we know the area of a rectangle or parallelogram is baseheight, what could the are of a triangle be? Remember, a triangle is half Area = ½ bh

  9. Find the area • Area = ½ bh • Area = ½ (108) • Area = ½80 • Area = 40 mm2

More Related