6.7 Areas of Triangles and Quadrilaterals. The area of a Square Area of a Square.
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Transcript of 6.7 Areas of Triangles and Quadrilaterals. The area of a Square Area of a Square.
![Page 1: 6.7 Areas of Triangles and Quadrilaterals. The area of a Square Area of a Square.](https://reader035.fdocuments.us/reader035/viewer/2022062219/551c5aca550346a66a8b50e0/html5/thumbnails/1.jpg)
6.7 Areas of 6.7 Areas of Triangles and Triangles and
Quadrilaterals Quadrilaterals
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The area of a Square
Area of a Square
X
X
X
X
2xA
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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.
base
height
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The Area of a Parallelogram
Area of a Parallelogram
is Base times height.
base
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
height
base
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Area of a Trapezoid
Area is one half height times(base1 + base2).
Height is from base1 to base2
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Area of a Kite
Area is one half of diagonal1times
diagonal2
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Area of a Rhombus
Area is one half of diagonal1 times
diagonal2
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Find the Area
Square
4.15ofside
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Find the Area
Square Area 237.16 in2
inofside 4.15
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Find the Area
Rectangles Area =
inofside 1.4inofside 2.7
inofside 8.3
inofside 5.1
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Find the Area
Rectangles Area = 27.36in2 + 6.15in2 = 33.51 in2
inofside 1.4inofside 2.7
inofside 8.3
inofside 5.1
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Find the Area
Parallelogram Area =
inofheight 7.3
inofbase 4.16
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Find the Area
Parallelogram Area = 60.68 in2
inofheight 7.3
inofbase 4.16
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Find the Area
Find the area of the Trapezoid
3,2
1,2
4,2
2,2
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Find the Area
Find the area of the Trapezoid
height = 4
base1 = 4
base2 = 6
3,2
1,2
4,2
2,2
41631)2(2 22
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Find the Area
Find the area of the Trapezoid
Area height = 4
½(4)(4+6)
½(4)(10) base1 = 4
2(10) base2 = 6
Area = 20
3,2
1,2
4,2
2,2
41631)2(2 22
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Find the length of the diagonal
Rhombus Area is 192 units2
8 16
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Find the length of the diagonal
Rhombus Area is 192 units2
192 = ½(8+16)(diagonal)
192 = ½(24)(diagonal)
192 = 12(diagonal)
16 = diagonal
What is x ?
8 16
x
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Find the Area
What is the total Area
in8 in8
in16
in10
in3
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Find the Area
What is the total Area Trap = ½(3)(10+16) = 39
Rect. = 8(16) = 128
Total = 167in2
in8 in8
in16
in10
in3
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Homework
Page 376 – 377
# 14 – 38