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Understanding Areas: Parallelograms, Triangles, and Trapezoids - Lesson 11-4

In this lesson, we will explore how to find the areas of various geometric shapes, including parallelograms, triangles, and trapezoids. We will apply the formulas for area calculation—A = bh for parallelograms and A = 1/2 bh for triangles. Through real-world examples and practice problems, learners will develop a solid understanding of these concepts. This lesson also includes a quick check to reinforce understanding. Prepare to engage with shapes and strengthen your area calculation skills!

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Understanding Areas: Parallelograms, Triangles, and Trapezoids - Lesson 11-4

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  1. A B C D Over Lesson 11-4 Find the measure of all angles. 141 3x 54 2x 5-Minute Check 1

  2. Splash Screen

  3. You found the area of rectangles. (PSSA Survivor) • Find areas of parallelograms and triangles. • Find areas of trapezoids. Then/Now

  4. base The base of a parallelogram or a triangle is any side of the figure from which we measure the height. The bases of a trapezoid are the parallel sides. • altitude A line segment that is perpendicular to the base of a figure with endpoints on the base and the side opposite that base. Often called the height. Vocabulary

  5. Concept A

  6. Find Areas of Parallelograms A. Find the area of the parallelogram. The base is 3 meters. The height is 3 meters. A = bh Area of a parallelogram A = 3 ● 3 Replace b with 3 and h with 3. A = 9 Multiply. Answer: The area is 9 square meters. Example 1 A

  7. Find Areas of Parallelograms B. Find the area of the parallelogram. EstimateA = 4 × 6 or 24 The base is 4.3 inches. The height is 6.2 inches. A = bh Area of a parallelogram A = 4.3 ● 6.2 Replace b with 4.3 and h with 6.2. A = 26.66 Multiply. Answer: The area is 26.66 square inches. This is close to the estimate. Example 1 B

  8. A B C D A. Find the area of the parallelogram. A. 6 cm2 B. 7 cm2 C. 12 cm2 D. 14 cm2 Example 1 CYP A

  9. A B C D B. Find the area of the parallelogram. A. 0.975 ft2 B. 1.95 ft2 C. 2.8 ft2 D. 5.6 ft2 Example 1 CYP B

  10. Concept B

  11. Find Areas of Triangles A. Find the area of the triangle. The base is 3 meters. The height is 4 meters. Area of a triangle Replace b with 3 and h with 4. Multiply 3 × 4 = 12. Simplify. Answer: The area of the triangle is 6 square meters. Example 2 A

  12. Estimate Find Areas of Triangles B.Find the area of the triangle. The base is 3.9 feet. The height is 6.4 feet. Area of a triangle Replace b with 3.9 and h with 6.4. Example 2 B

  13. Find Areas of Triangles Multiply 3.9 × 6.4. Simplify. Answer: The area of the triangle is 12.48 square feet. Check 12.48 ≈ 12 Example 2 B

  14. A B C D A. Find the area of the triangle. A. 180 in2 B. 90 in2 C. 27 in2 D. 13.5 in2 Example 2 CYP A

  15. A B C D B. Find the area of the triangle. A. 4.4 cm2 B. 8.8 cm2 C. 9.36 cm2 D. 18.72 cm2 Example 2 CYP B

  16. Concept C

  17. Estimate Find Areas of Trapezoids PLAYROOM The floor of a playroom is shaped like a trapezoid. Use the figure to find the area of the playroom. Example 3

  18. Find Areas of Trapezoids Area of a trapezoid Simplify inside parentheses. Example 3

  19. Answer: The area of the trapezoid is square meters. Check  Find Areas of Trapezoids Divide out the common factors. Simplify. Example 3

  20. A B C D Find the area of the trapezoid. A. 20 ft2 B. 30 ft2 C. 40 ft2 D. 60 ft2 Example 3 CYP

  21. End of the Lesson

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