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GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
A parallelogram is a 4 – sided figure created by two pairs of parallel sides.
Opposite sides are equal in length, and opposite angles are equal in measure.
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
A parallelogram is a 4 – sided figure created by two pairs of parallel sides.
Opposite sides are equal in length, and opposite angles are equal in measure.
When dealing with area, they are drawn with an altitude.
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
A parallelogram is a 4 – sided figure created by two pairs of parallel sides.
Opposite sides are equal in length, and opposite angles are equal in measure.
When dealing with area, they are drawn with an altitude ( height ).
hbArea
base
height
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
EXAMPLE # 1 : Find the area of a parallelogram with base 12 and height of 5.
hbArea
base
height
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
EXAMPLE # 1 : Find the area of a parallelogram with base 12m and height of 5m.
hbArea
base
height
meters sq. 60512
a
hba
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
EXAMPLE # 2 : Find the area of a parallelogram with base 3.5 ft and height of 12.7 ft.
hbArea
base
height
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
EXAMPLE # 2 : Find the area of a parallelogram with base 3.5 ft and height of 12.7 ft.
hbArea
base
height
ft. sq. 45.447.125.3
a
hba
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
EXAMPLE # 3 : If the area of a parallelogram is 125 square inches, find the height if the base is 25 inches.
hbArea
base
height
inches 5
25125
h
h
hba
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
A rhombus is a special parallelogram with all 4 sides equal.
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
A rhombus is a special parallelogram with all 4 sides equal.
Just like a parallelogram, it can be drawn with a height.
bha
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
A rhombus is a special parallelogram with all 4 sides equal.
It can also be drawn with diagonals.
bha
Just like a parallelogram, it can be drawn with a height.
d1d2
221 dd
a
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
A rhombus is a special parallelogram with all 4 sides equal.
It can also be drawn with diagonals.13
6
221 dd
a
EXAMPLE : Find the area of a rhombus with diagonals of 6 inches and 13 inches,
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
A rhombus is a special parallelogram with all 4 sides equal.
It can also be drawn with diagonals.13
6
221 dd
a
EXAMPLE : Find the area of a rhombus with diagonals of 6 inches and 13 inches,
in. sq. 36
2
78
2
136a
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
A rhombus is a special parallelogram with all 4 sides equal.
It can also be drawn with diagonals.12
d
221 dd
a
EXAMPLE : The area of a rhombus is 228 square meters with one diagonal of 12 inches, Find the length of the other diagonal.
Area = 228 m2
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
A rhombus is a special parallelogram with all 4 sides equal.
It can also be drawn with diagonals.12
d
221 dd
a
EXAMPLE : The area of a rhombus is 228 square meters with one diagonal of 12 inches, Find the length of the other diagonal.
d
d
d
19
62282
12228
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
A Trapezoid is a polygon with only two parallel sides or bases. The sides ARE NOT equal in length. It also has an altitude.
base 1
base 2
height
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
A Trapezoid is a polygon with only two parallel sides or bases. The sides ARE NOT equal in length. It also has an altitude.
base 1
base 2
height
hbb
a
2
21
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
EXAMPLE : Find the area of the trapezoid.
5
11
9
hbb
a
2
21
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
EXAMPLE : Find the area of the trapezoid.
5
11
9
7292
16
92
1152
21
a
a
hbb
a
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
EXAMPLE : Find the area of the trapezoid.
hbb
a
2
21
23
30
8
GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid
EXAMPLE : Find the area of the trapezoid.
ft sq 212
82
53
82
30232
21
a
a
a
hbb
a
23 ft
30 ft
8 ft
