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6.7 Areas of Triangles and Quadrilaterals

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The area of a Square Area of a Square

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Postulate If two polygons are congruent, then they have the same area.

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Area Addition Postulate The area of a region is the sum of the area of it nonoverlapping parts. The Blue area is Area of A+B+C+D+E+F+G+H

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The Area of a Rectangle Area of a Rectangle is Base times height.

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The Area of a Parallelogram Area of a Parallelogram is Base times height.

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Area of a Triangle Area is one half base times height, even if the height is outside of the triangle

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Area of a Trapezoid Area is one half height times(base 1 + base 2 ). Height is from base 1 to base 2

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Area of a Kite Area is one half of diagonal 1 times diagonal 2

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Area of a Rhombus Area is one half of diagonal 1 times diagonal 2

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Find the Area Square

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Find the Area Square Area in 2

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Find the Area Rectangles Area =

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Find the Area Rectangles Area = 27.36in in 2 = in 2

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Find the Area Parallelogram Area =

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Find the Area Parallelogram Area = in 2

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Find the Area Find the area of the Trapezoid

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Find the Area Find the area of the Trapezoid height = 4 base 1 = 4 base 2 = 6

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Find the Area Find the area of the Trapezoid Area height = 4 ½(4)(4+6) ½(4)(10) base 1 = 4 2(10) base 2 = 6 Area = 20

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Find the length of the diagonal Rhombus Area is 192 units 2

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Find the length of the diagonal Rhombus Area is 192 units = ½(8+16)(diagonal) 192 = ½(24)(diagonal) 192 = 12(diagonal) 16 = diagonal What is x ?

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Find the Area What is the total Area

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Find the Area What is the total Area Trap = ½(3)(10+16) = 39 Rect. = 8(16) = 128 Total = 167in 2

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Homework Page 376 – 377 # 14 – 38

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