Name
Class
Date
Practice
10-1
Form G
Areas of Parallelograms and Triangles
Find the area of each parallelogram.
1.
2.
3 ft
3.
9 in.
5m
14 ft
42 ft2
8 in.
9m
10 in.
45 m2
4.
5.
12 mm
80 in.2
6.
2.5 in.
8 mm
5.2 in.
10 mm
96 mm2
2m
3.1 m
15 m2
4.8 in.
7.5 m
12 in.2
Find the value of h for each parallelogram.
7.
4
6
h
3.8
1.6 units
7.2 units
6 units
4
9.
9.5
h
6.5
8
3
7.8
8.
h
Find the area of each triangle.
10.
11.
12.
7.8 ft
3 in.
10 ft
8 cm
11 in.
16.5
6 ft
5 ft
in.2
8 ft
39 ft2
7.2 cm
28.8 cm2
13.
14.
9 yd
6 yd
10.8 yd
27 yd2
15.
5.5 in.
10.4 m
2 in.
7 in.
19.25 in.2
5.5 m
28.6
5m
m2
16. Algebra In a parallelogram, a base, b, and its corresponding height, h, are in
the ratio of 5 i 3. The area is 135 mm2 . Find b and h. 15 mm; 9 mm
17. Reasoning A triangle has an area of 18 ft2 . List all the possible positive
integers that could represent its base and height.
1 ft and 36 ft; 2 ft and 18 ft; 3 ft and 12 ft; 4 ft and 9 ft; 6 ft and 6 ft; 9 ft and 4 ft;
12 ft and 3 ft; 18 ft and 2 ft; 36 ft and 1 ft
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Name
Class
10-1
Date
Practice (continued)
Form G
Areas of Parallelograms and Triangles
18. A company wants to paint its logo on the side of
a building. The entire area needs to be covered with
a primer. The two triangular areas will be painted
red, the rectangle containing the company’s name
will be white, and the rest of the parallelogram will
be yellow.
a. Find the area for each different color. red: 16
ft2 ;
8 ft
4 ft
LOG INC.
8 ft
4 ft
14 ft
10 ft
4 ft
white: 32 ft2 ; yellow: 80 ft2
b. Find the area that must be painted with primer. 128 ft2
19. A scale drawing of the side view of a house is shown at the
right. Find the total area (in square inches) of the side of the
house in the drawing. 1.4 in.2
8 ft
20. Open-Ended Using graph paper, draw a figure
with area 42 units2 made up of a parallelogram
and a triangle. Check students’ work.
24 ft
Coordinate Geometry Find the area of a polygon with the
given vertices.
20 ft
Scale: 1 in. : 20 ft
21. A(2, 2), B(5, 2), C(3, 21), D(0, 21) 9 units2
22. A(1, 4), B(22, 22), C(27, 22), D(24, 4) 30 units2
23. A(5, 23), B(21, 23), C(21, 2), D(5, 6) 42 units2
24. A(5, 0), B(5, 8), C(21, 7), D(21, 26) 63 units2
Find the area of each figure.
25.
26.
14 ft
14 ft
98
5m
6.5 m
10 in.
16 m
14 in.
14 ft
ft2
27.
10 in.
170 in.2
14 m
122.75 m2
28. Reasoning A parallelogram has a height of 6 units and a corresponding base
of 7 units. What is the area of each triangle formed when one diagonal of the
parallelogram is drawn? What is the area of each small triangle formed when
two diagonals are drawn? 21 unit2; 10.5 unit2
29. A parallelogram has sides 24 m and 5 m. The height corresponding to a 24-m
base is 4 m. What it the height corresponding to a 5-m base? 19.2 m
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