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Exploring Area

Exploring Area. By Tyler Van Vleet. Rectangle. Area of a rectangle = L x W. L. W. Rectangle Example. Find the area of the rectangle. Solution A = L x W = 5in x 3in = 15in 2. 5 in. 3 in. Parallelogram . Area of a parallelogram = b x h b = base h = height

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Exploring Area

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  1. Exploring Area By Tyler Van Vleet

  2. Rectangle • Area of a rectangle = L x W L W

  3. Rectangle Example • Find the area of the rectangle. • Solution • A = L x W • = 5in x 3in • = 15in2 5 in. 3 in.

  4. 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

  5. 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 • = 28in2 7 in 4 in

  6. 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

  7. Triangle Example • Find the area of the triangle. • Solution • A = ½b x h • = ½(6in)(6in) • = 18in2 6 6

  8. Kite • Area of a kite = ½d1d2 • d1=diagonal 1 • d2= diagonal 2 • Notice how when separated, the kite forms two identical triangles. • Area of a triangle is ½b x h • d2 becomes the base(b) and ½d1 becomes the height (h) • So, the area of the kite is twice the area of one of the triangles. d1 d2

  9. Kite Example • Find the area of the kite • d1= 15in • d2= 25in • Solution • A= ½d1 x d2 • = ½(15in)(25in) • = 187.5in2 d1 d2

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