#### MYP7 Area of Quadrilaterals

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Transcript MYP7 Area of Quadrilaterals

A quadrilateral is a four-sided plane.
A parallelogram is a four-sided plane that meets the following
criteria:
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Consecutive angles are supplementary
Diagonals bisect each other
Squares
Rectangles
Rhombuses
Theorem 6.21:
The area of a parallelogram is the product of base and its
corresponding height.
A=(8)(4)
8
>
4
>>
>>
>
Kites
Trapezoids
Postulate 22:
The area of a square is the square of the length of one of its sides.
A=42
4
4
A=(4)(8)
Theorem 6.20:
4
8
The area of a rectangle is the product of its base and height.
Trapezoid:
Area=1/2(Height)(Base1+Base2)
4
3
A=(1/2)(3)(2+4)
2
2
Rhombus and Kite:
1/2(Diagonal1xDiagonal2)
A=(1/2)(2x4)
Area of a Square…
Area of a SQUARE=SideSQUARED
Area of a Kite…
Please DaD:
(1/2)Product of DandD--(1/2)DaD
Examples-Square
The length of one of the
sides is 3. What is the area
of the square?
9 units 2
Examples-Rectangle
The length of one of the
sides is 4, and the other is 6.
What is the area of the
rectangle?
24 units 2
Examples-Kite
The length of one of the
diagonals is 5, and the other
is 8. What is the area of the
kite?
20 units 2
Examples-Rectangle
The height of the building is
350 feet and the width is 20
feet. What is the area of the
building?
7,000 feet 2
Examples-Rhombus
The length of one of the
diagonals is 16, and the
other is 8. What is the area
of the rhombus?
64 units 2
Examples-Trapezoid
The length of one of the
bases is 2, and the other is
4. The height is 8. What is
the area of the trapezoid?
24 units 2
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