Name: ________________________ Class: ___________________ Date: __________
Areas Review
Short Answer
Find the area. The figure is not drawn to scale.
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ID: A
Name: ________________________
ID: A
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Find the area of a parallelogram with the given vertices.
7. P(1, 3), Q(3, 3), R(7, 8), S(9, 8)
8. P(–2, –5), Q(9, –5), R(1, 5), S(12, 5)
9. Find the area of a polygon with the vertices of (–2, 3), (1, 3), (5, –3), and (–2, –3).
10. A fly lands at random at a point on the grid. Find the probability of the fly landing on the figure.
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Name: ________________________
ID: A
Find the area of the trapezoid. Leave your answer in simplest radical form.
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12. A kite has diagonals 9.2 ft and 8 ft. What is the area of the kite?
13. Find the area of the rhombus.
14. You are planning to use a ceramic tile design in your new bathroom. The tiles are blue and white equilateral
triangles. You decide to arrange the blue tiles in a hexagonal shape as shown. If the side of each tile measures 7
centimeters, what will be the exact area of each hexagonal shape?
The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the
second. The figures are not drawn to scale.
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Name: ________________________
ID: A
16. Find the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle.
The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole
number.
17. It costs a family $324 to buy a 10-ft-by-12-ft rug. At this rate, what will it cost them to buy a 15-ft-by-18-ft rug?
18. Two trapezoids have areas 432 cm 2 and 48 cm 2 . Find their ratio of similarity.
19. A rectangular napkin costs $3.25. A similar tablecloth is five times longer and five times wider. How much would
you expect to pay for the tablecloth?
20. Find the similarity ratio and the ratio of perimeters for two regular octagons with areas of 18 in. 2 and 50 in. 2 .
Find the area of the regular polygon. Give the answer to the nearest tenth.
21. square with radius 16 ft
22. decagon with side 4 cm
23. pentagon with radius 8 m
24. Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length 2.75 miles
and 1.32 miles. The angle between the sides of the triangle is 35 . To the nearest hundredth, find the search area.
Find the area of the circle. Leave your answer in terms of  .
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Name: ________________________
ID: A
26. Find the area of the figure to the nearest tenth.
27. The area of a regular hexagon is 35 in.2. Find the length of a side. Round your answer to the nearest tenth.
Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.
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30. Find the area of the rhombus. Leave your answer in simplest radical form.
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ID: A
Areas Review
Answer Section
SHORT ANSWER
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28.12 cm2
1188 in.2
15 yd2
70 in.2
5.4 cm2
144.5 cm2
10 units2
110 units2
30 units2
9
70
11. 32 3 ft2
12. 36.8 ft2
13. 128 m2
14. 73.5 3 cm2
8
64
15.
and
3
9
4
16.
3
17. $729
18. 3 : 1
19. $81.25
20. 3 : 5; 3: 5
21. 512 ft 2
22. 123.1 cm 2
23. 152.2 m 2
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27.
1.04 mi 2
4.2025 m2
74.2 in.2
3.7 in.
28. 63.4 cm 2
29. 10.5 m 2
30. 50 3
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