Measurements Of Polygons And Circles Worksheets - Lance Mangham, 6th Grade Math, Carroll Isd Page 13

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Activity 10-8: Area of Trapezoids
Name:
1
1
Formula for the area of a trapezoid:
[
is just the average of the two bases.]
(
)
(
)
A
=
b
+
b h
b
+
b
1
2
1
2
2
2
1
12 in
(
)
A
=
b
+
b h
Example:
1
2
2
1
6 in
(12 15)6
A
=
+
2
15 in
1
(27) 6
A
= •
The two bases are always parallel to each other.
2
2
=
81 in.
A
Find the area of each trapezoid using the formula above. Show all steps on a separate sheet of paper .
z
Trapezoid A
Trapezoid B
x
x
z
y
y
Trapezoid A
1.
x=14 cm, y=26.5 cm, z=12 cm
2.
x=4 cm, y=10 cm, z=5 cm
3.
x=40 m, y=50 m, z=20 m
4.
x=7 ft, y=15 ft, z=7 ft
Trapezoid B
5.
x=6 in, y=16 in, z=9 in
6.
x=41 cm, y=78 cm, z=22 cm
1
3
x=2
in, y=12 in, z=9
in
7.
x=2.8 m, y=2.5 m, z=1.5 m
8.
4
4
Cassie draws the following 4 figures.
8 cm
List the shapes in order
of area from greatest to
10
10 cm
9.
least.
cm
12.5
8 cm
cm
6 cm
5 cm
10 cm
10. What happens to the area of a trapezoid if both bases are tripled?
What happens to the area of a trapezoid if both bases and the height are all
11.
divided by 3?
th
Created by Lance Mangham, 6
grade math, Carroll ISD

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