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Published byLogan Parsons Modified over 6 years ago

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Areas of Triangles, Parallelograms, & Trapezoids

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Rectangle Area = number of square units contained in the figure. Calculated A = lw l w

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Rectangle Sometimes referred to as base and height A = bh b h

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Parallelogram Especially, when we are looking at a parallelogram A = bh b h

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Parallelogram Height is always PERPENDICULAR to the base A = bh b h

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Triangles Now let’s consider triangles b h How would we calculate the Area of the triangle?

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Triangles A = ½ bh b h

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Triangles No matter what the triangle looks like, A = ½ bh. b h h b h b h b

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Triangles Folding the corners over shows that the triangle is ½ the rectangle. h b

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Trapezoids A = ½ h ( b 1 + b 2 ) h b1b1 b2b2

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Sample problems Identify the shape and use the appropriate formula. 8 cm 12 cm

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Sample problems A = lw A = 8 12 8 cm 12 cm 96 cm 2

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Sample problems Identify the shape and use the appropriate formula. 15’ 9’

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Sample problems A = b h A = 15 9 15’ 9’ 135 ft 2

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Sample problems Identify the shape and use the appropriate formula. 14”

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Sample problems A = s 2 A = 14 2 196 in 2 14”

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Sample problems Identify the shape and use the appropriate formula. 5cm 24 cm

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Sample problems A = ½ b h A = ½ 24 5 5cm 24 cm 60 cm 2

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Sample problems Identify the shape and use the appropriate formula. 15 m 12 m 6 m

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Sample problems A = ½ h (b 1 + b 2 ) A = ½ 6 (12 + 15) 12 m 15 m 6 m 81 m 2

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Sample problems Identify the shape and use the appropriate formula. 5 m

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Sample problems What is the height? 5 m

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