NAME: _______________________________
AREA OF A PARALLELOGRAM PRACTICE #1
A parallelogram is a quadrilateral with both pairs of opposite sides parallel. In a
parallelogram, opposite sides are congruent and opposite angles are congruent.
The area of a parallelogram is the product of a base and the corresponding
height.
A = bh
The parallelograms pictured below are congruent. One of the parallelograms has been
rotated.
A
D
C
height
height
A
D
base
B
B
J
C
base
A base of a parallelogram is any of its sides. The corresponding altitude is a segment
perpendicular to the line containing that base, drawn from the side opposite the base.
The height is the length of an altitude.
1.)
In the parallelogram below, the base of the parallelogram is 6.4 cm and the
C
altitude is 5.7 cm.
a.)
b.)
Put the correct markings on the parallelogram.
D
5.7
Use the formula and find the area of the parallelogram.
J
6.4
A
B
2.)
In the parallelogram below, the base of the parallelogram is 53 cm. and the
altitude is 3 m.
C
a.)
Put the correct markings on the parallelogram.
b.)
Use the formula and find the area of the parallelogram.
B
D
J
A
3.)
In the parallelogram below, the altitude of the parallelogram is
is 18 in2.
a.)
Put the correct markings on the parallelogram.
b.)
Find the length of the base of the parallelogram.
2
ft. and the area
3
Y
Z
W
X
J
4.)
In the parallelogram below, the length of the base of the parallelogram is 3 times
its’ altitude. The altitude is 4.6 cm.
T
J
S
R
Q
a.)
Put the correct markings on the parallelogram.
b.)
Find the length of the base of the parallelogram.
c.)
Use the formula and find the area of the parallelogram.
5.)
In the parallelogram below, the length of the base is
a.)
Put the correct markings on the parallelogram.
b.)
Find the length of the base of the parallelogram.
3
the length of the altitude.
4
0
N
4.4 m
c.)
Use the formula and find the area of the parallelogram.
L
J
M
6.)
1
In the parallelogram below, the length of the base of the parallelogram is 3 ft.
3
2
and the area is 4 ft2.
7
a.)
Put the correct markings on the parallelogram.
b.)
Find the length of the altitude of the parallelogram.
Area = 4
2 2
ft
7
C
J
D
B
A
7.)
The two longer sides of the parallelogram are two times the length of the two
shorter sides. If its’ perimeter is 63 inches, find the area.
a.)
Put the correct markings on the parallelogram.
b.)
Find the length of the sides of the parallelogram.
D
E
c.)
Use the formula and find the area of the parallelogram.
C
F
4 in
J
1
the length of the two longer
3
Y
sides. If its’ perimeter is 40 cm, find the area.
8.)
The two shorter sides of the parallelogram are
a.)
Put the correct markings on the parallelogram.
b.)
Find the length of the sides of the parallelogram.
Z
10 cm
J
c.)
Use the formula and find the area of the parallelogram.
W
X