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Understanding Trapezoids: Area Calculation and Examples

This resource explores the concept of calculating the area of trapezoids. It provides a clear formula: A = 1/2 * h * (b1 + b2), where A is the area, h is the height, and b1 and b2 are the lengths of the bases. Example problems include finding the area of a trapezoid with specific dimensions and an application related to the state of Montana's approximate area. Homework assignments are included for practice, reinforcing the knowledge gained.

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Understanding Trapezoids: Area Calculation and Examples

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  1. Do Now

  2. 9-1 D Area of Trapezoids

  3. Key Concept

  4. 1 2 · 4(14 + 12 ) A = 1 2 1 2 1 2 · 4(26 ) 1 A = 2 Example 1 Find the area of the trapezoid. 1 2 h(b1 + b2) A = The area is 53 yd2.

  5. Example 2 Find the area of the trapezoid. The bases are 4 meters and 7.6 meters. The height is 3 meters. The area of the trapezoid is 17.4 square meters.

  6. Example 2 The shape of the state of Montana resembles a trapezoid. Find the approximate area of Montana. Replace h with 285, b1 with 542, and b2 with 479.

  7. The approximate area of Montana is about 145,493 square miles.

  8. Exit Ticket Time

  9. Homework • Pg. 537 #1-24 Evens

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