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10.3 Areas of Trapezoids. Objective: Find the areas of trapezoids Homework: p550-551, #14-16, 18, 22-24. Key Terms. Base of a Parallelogram: ____________________________________________________________________________________
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10.3 Areas of Trapezoids Objective: Find the areas of trapezoids Homework: p550-551, #14-16, 18, 22-24
Key Terms • Base of a Parallelogram: ____________________________________________________________________________________ • Height of a Parallelogram: ____________________________________________________________________________________
Area of a Trapezoid • A = ½(b1 + b2)h b1 & b2 = bases h=height Example: A=
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. • A = ½(b1 + b2)h 4 cm 2.5 cm 9 cm
Example 2: Finding the area of a Trapezoid • Find the area of the trapezoid. A = ½(b1 + b2)h • 1.) 2.) 22 in. 3 ft 16 in. 8.5 ft 9 ft 13 in.
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 = ½(b1 + b2)h
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 = ½(b1 + b2)h
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 = ½(b1 + b2)h