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Lesson 10-5 Pages 520-525. Area: Parallelograms, Triangles, and Trapezoids. Lesson Check 10-4. What you will learn!. How to find the area of parallelograms, triangles, and trapezoids. Vocabulary. What you really need to know!. HEIGHT (h). BASE (b).
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Lesson 10-5Pages 520-525 Area: Parallelograms, Triangles, and Trapezoids Lesson Check 10-4
What you will learn! How to find the area of parallelograms, triangles, and trapezoids.
What you really need to know! HEIGHT (h) BASE (b) The area A of a parallelogram equals the product of its base b and its height h. A = bh
The area of a parallelogram is the same as the area of a rectangle!
What you really need to know! Height (h) BASE (b) The area A of a triangle equals half the product of its base b and height h. A = ½bh
The area of a triangle is the same as ½ the area of a parallelogram!
What you really need to know! b h a The area A of a trapezoid equals half the product of the height h and the sum of the bases a and b. A = ½ h(a+b)
The area of a trapezoid is the same as ½ the area of a parallelogram! Notice how the top layer and bottom layer of the trapezoids creates the base of the parallelogram!
b h h a
Example 1: Find the area of the parallelogram. A = bh A = 3 x 3 A = 9 m2
Example 2: Find the area of the parallelogram. A = bh A = 6.2 x 4.3 A = 26.66 in2
Example 3: Find the area of the triangle. A = ½ bh A = ½ x 3 x 4 A = 6 m2
Example 4: Find the area of the triangle. A = ½ bh A = ½ x 3.9 x 6.4 A = 12.48 ft2
Example 5: Find the area of the trapezoid.
A = ½ h(a+b) A = ½ x 6(7 ½ + 5 ¼ ) A = 38 ¼ m2
Example 6: A wall that needs to be painted is 16 feet wide and 9 feet tall. There is a doorway that is 3 feet by 8 feet and a window that is 6 feet by 5 ½ feet. What is the area to be painted?
Area to be painted is: 144 – 24 – 33 = 87 ft2
Page 523 Guided Practice #’s 3-6
Read: Pages 520-523 with someone at home and study examples!
Homework: Pages 524-525 #’s 8-22 even, 24-28, 32-43 Lesson Check 10-5
Page 749 Lesson 10-5