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Area of a Parallelograms and Triangles

Area of a Parallelograms and Triangles. PARALLELOGRAM. What is the area of this parallelogram?. S =side. H=height. B =base. PARALLELOGRAM. What is the area of this parallelogram?. S =side. H=height. B =base. CUT HERE!. PARALLELOGRAM. What is the area of this parallelogram?.

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Area of a Parallelograms and Triangles

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  1. Area of a Parallelograms and Triangles

  2. PARALLELOGRAM What is the area of this parallelogram? S=side H=height B=base

  3. PARALLELOGRAM What is the area of this parallelogram? S=side H=height B=base CUT HERE!

  4. PARALLELOGRAM What is the area of this parallelogram? H=height B=base MOVE TO HERE!

  5. PARALLELOGRAM It’s the same as the area of this rectangle! H=height B=base

  6. PARALLELOGRAM Arearectangle= Base x Height (perpendicular height H) H=height B=base

  7. PARALLELOGRAM Areaparallelogram = Base x Height (perpendicular height H) Side H=height B=base

  8. To find the area of a parallelogram, you always multiply the base and the height. Remember: The height is the line segment that is perpendicular to the base and creates a right angle. What is the area of this parallelogram? 10 in 12 in Area = base x height A = (10)(10) A = 100 in² 10 in

  9. Examples • Find the area of the parallelogram. A=bh A= 11(7) A=77 in² 7 in 8in 11 in

  10. Your Turn • Find the area of the parallelogram. A=bh A= 12(24) A=288 cm² 24 cm 14cm 12 cm

  11. A treadmill’s belt is in the shape of a parallelogram before the ends are joined to form a loop. The area of the belt is 2052 in². The belt’s width, which is the height of the parallelogram, is 18 inches. Find the length of the belt, which is the base of the parallelogram.

  12. 18 in b A=bh 2052= b(18) b =114 The length of the treadmill’s belt is 114 inches

  13. Triangles • Height and Base of a Triangle HEIGHT HEIGHT BASE BASE BASE

  14. Area of a Triangle • Area: A = Area =

  15. Why is that the Area of a Triangle? Area of parallelogram = base x height 1 2

  16. Finding the Area of a Triangle • Write the formula for area of a triangle. • Substitute in values. • Simplify. 111 ft 231 ft

  17. Examples • Find the Area of the triangle. • A = ?, b = 9 ft, h = 6 ft 12 m 16.1 m

  18. Finding the Base of a Triangle • A triangle has a height of 10 centimeters and an area of 35 square centimeters. Find the base of the triangle. • Write the formula for area of a triangle. • Substitute in values. • Simplify. • Solve.

  19. Practice: Blue Book Pg. 554: #7-13 all Pg. 561: #6-15 all

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