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10-1 Areas of Parallelograms and Triangles

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Presentation on theme: "10-1 Areas of Parallelograms and Triangles"— Presentation transcript:

1 10-1 Areas of Parallelograms and Triangles

2 Area Formulas Area of a Rectangle: The area of a rectangle is the product of its base and height. A = bh Area of a Parallelogram: The area of a parallelogram is the product of a base and the corresponding height. Area of a Triangle: The area of a triangle is half the product of a base and the corresponding height. A = ½ bh

3 Finding the Area of a Parallelogram
What is the area of each parallelogram?

4 Finding a Missing Dimension
For parallelogram ABCD, what is DE to the nearest tenth?

5  What is the area of the triangle?

6 10-2 Areas of Trapezoids, Rhombuses, and Kites

7 More Area Formulas Area of a Trapezoid: The area of a trapezoid is half the product of the height and the sum of the bases. A = ½h(b1 + b2) Area of a Rhombus or a Kite: The area of a rhombus or a kite is half the product of the lengths of its diagonals. A = ½d1d2 *Is there another way to find the area of a rhombus?

8 Area of a Trapezoid What is the approximate area of Nevada?

9  What is the area of a trapezoid with height 7 cm and bases 12 cm and 15 cm?

10 Finding Area Using a Right Triangle
What is the area of trapezoid PQRS?  Suppose that mP = 45 while the bases remain the same. What is the area of trapezoid PQRS?

11 Finding the Area of a Kite
What is the area of kite KLMN?

12  A rhombus has sides 10 cm long
 A rhombus has sides 10 cm long. If the longer diagonal is 16 cm, what is the area of the rhombus?


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