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By Tyler Van Vleet Exploring Area

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Rectangle Area of a rectangle = L x W L W

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Rectangle Example Find the area of the rectangle. Solution A = L x W = 5in x 3in = 15in 2 5 in. 3 in.

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Parallelogram Area of a parallelogram = b x h b = base h = height Notice how when shifted, the two parts of the parallelogram make a rectangle Area of a rectangle = L x W (base = length, height = width) h b

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Parallelogram Example Find the area of the parallelogram Solution A = b x h or Shift to make rectangle A = L x W = 7in x 4 in = 28in 2 7 in 4 in

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Triangle Area of a triangle = ½b x h Notice how two triangles of the same dimensions make a parallelogram Area of a parallelogram = b x h So if the area of the two triangles is b x h, then the area of a triangle would be half of that (½b x h) h b

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Triangle Example Find the area of the triangle. Solution A = ½b x h = ½(6in)(6in) = 18in 2 6 6

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Kite Area of a kite = ½d 1 d 2 d 1 = diagonal 1 d 2 = diagonal 2 Notice how when separated, the kite forms two identical triangles. Area of a triangle is ½b x h d 2 becomes the base (b) and ½d 1 becomes the height (h) So, the area of the kite is twice the area of one of the triangles. d2d2 d1d1

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Kite Example Find the area of the kite d 1 = 15in d 2 = 25in Solution A= ½d 1 x d 2 = ½(15in)(25in) = 187.5in 2 d1d1 d2d2

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Parallelograms, Trapezoids and Triangles Section 3-4-5.

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