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Published byEvelyn Hodgkinson Modified over 3 years ago

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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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Objectives Develop and apply the formulas for the areas of triangles and special quadrilaterals. Solve problems involving perimeters and areas of triangles.

Objectives Develop and apply the formulas for the areas of triangles and special quadrilaterals. Solve problems involving perimeters and areas of triangles.

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