Name
10-1
Class
Date
Practice
Form K
Areas of Parallelograms and Triangles
Find the area of each parallelogram.
1.
2.
3.
4.
Find the value of h for each parallelogram.
To start, write the area formula for a
parallelogram. Substitute 12 for b and
4 for h.
5.
A = bh
=
6.
7.
2
8. The area of a triangle is 36 m and the height is 9 m. Find the length of the
corresponding base.
9. Algebra In a parallelogram, a base and a corresponding height are in the
ratio 5 : 2. The area is 250 cm2. Find the lengths of the base and the
corresponding height. (Hint: Use 5x for the base and 2x for the height of the
parallelogram.)
2
10. A triangle has area 16 m . List all the possible positive integers that could
represent the lengths of its base and height.
11. A classmate drew a rectangle with a height of 8 units and a base of 10 units. What is
the area of each figure formed when the rectangle is divided along one of its
diagonals?
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5
Name
10-1
Class
Date
Practice (continued)
Form K
Areas of Parallelograms and Triangles
Find the area of each triangle.
To start, write the area formula for a
triangle. Find b and h in the diagram.
12.
A=
1
bh
2
The height h is perpendicular to the base b
so h = 5 and b =
13.
14.
15.
16.
? + ? = ? .
17. Reasoning A parallelogram has sides that are 30 in. and 12 in. long. The length of
the height corresponding to the 30-in. base is 8 in. What is the length of the height
corresponding to the 12-in. base?
Coordinate Geometry Find the area of a polygon with the given vertices.
18. A(−3, 1), B(−3, 4), C(7, 1), D(7, 4)
19. A(−1, 1), B(−1, 6), C(2, 6)
20. A(2, 2), B(5, 5), C(5, 0), D (2, −3)
21. A(−5, −2), B(−3, 0), C(−3, −4)
Find the area of each figure.
22.
23.
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6