Name
10-2
Class
Date
Form K
Practice
Areas of Trapezoids, Rhombuses, and Kites
Find the area of each trapezoid.
1.
To start, write the formula for the area of a
trapezoid. Find h, b1, and b2 in the diagram.
1
A = h(b1 + b2 )
2
The height h is perpendicular to the bases, so
h = ? , b1 =
? , and b2 =
2.
? .
3.
4. Find the area of a trapezoid with bases 16 in. and 7 in. and height 9 in.
5. Find the area of a trapezoid with bases 5 ft and 11 ft and height 7.4 ft.
Find the area of each trapezoid. If your answer is not an integer, leave it in
simplest radical form.
6.
To start, find the height of the trapezoid using the
Pythagorean Theorem, a2 + b2 = c2.
The height is the other leg of the right triangle
with leg 16 mm and hypotenuse 20 mm.
h2 + 162 = 202
h2 + 256 = 400
h2 = ?
h= ?
7.
8.
Find the area of each trapezoid to the nearest tenth.
9.
10.
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Name
10-2
Class
Date
Practice (continued)
Form K
Areas of Trapezoids, Rhombuses, and Kites
Find the area of each kite.
11.
To start, write the formula for the area of a kite.
Find the lengths of the two diagonals.
d1 = 6 + 6 = ?
12.
13.
14. Algebra The diagonals of a kite are in the ratio 3 : 2. The area of the kite is
27 cm2. Find the length of both diagonals. (Hint: Let the lengths of the
diagonals be 3x and 2x.)
Find the area of each rhombus.
15.
To start, write the formula for the area of a rhombus.
Find the lengths of the two diagonals.
1
d1 d 2
2
d1 = ? ⋅ 2 = ?
A=
d2 = ? ⋅ 2 = ?
16.
17.
Find the area of each rhombus. Leave your answer in simplest radical form.
18.
19.
20.
Prentice Hall Foundations Geometry • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
16