Understanding Trapezoids: Area Calculations and Examples

Explore how to find the area of trapezoids using base lengths and height measurements. Discover examples and formulas to calculate the area of trapezoids effectively. Gain insights into identifying unknown dimensions and practical applications in real-world scenarios.

• Trapezoids
• Area Calculations
• Geometry
• Formulas
• Examples

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1. Do Now 1. Find the area of a parallelogram with base 12 inches and height 3 inches. The height of a trapezoid is 7 meters. The bases are 16 meters and 20 meters. Find the area of the trapezoid. 2. The area of a trapezoid is 132 square feet. The bases are 30 feet and 36 feet. Find the height of the trapezoid. 3.

2. 10.3: Areas of Trapezoids 10.3: Areas of Trapezoids Objective: Find the areas of trapezoids Homework: p550-551, #14-16, 18, 22-24

3. Key Terms Base of a Trapezoid: _______________________________________________ _____________________________________ Height of a Trapezoid: _______________________________________________ _____________________________________

4. Area of a Trapezoid A = (b1+ b2)h b1& b2 = bases h=height Example: A=

5. Example 1: Finding the area of a Trapezoid The diagram shows one of the trapezoids in a quilt design. Find the area of the trapezoids. 4 cm A = (b1+ b2)h 2.5 cm 9 cm

6. Example 2: Finding the area of a Trapezoid Find the area of the trapezoid. A = (b1 + b2)h 22 in. 3 ft 1.) 2.) 16 in. 8.5 ft 9 ft 13 in.

7. Example 3: Finding an Unknown Length The height of a trapezoid is 6 meters. One of its bases is 8 meters. The area of a trapezoid is 54 square meters. Find the other base. A = (b1 + b2)h

8. Example 4 : Using Area of Trapezoids You are building an L-shaped desk for your room. The dimensions of the desktop are shown. Find the area of the desktop. A = (b1 + b2)h

9. Checkpoint One base of a trapezoid is 9 feet, and the height is 4 feet. The area of the trapezoid is 28 square feet. Find the other base. A = (b1 + b2)h