Geometry B Review: 8.1 – 8.4
Name _________________________
1. Tell whether each polygon is concave or convex.
a)
b)
_______________
c)
________________
d)
_________________
________________
2. A regular polygon is one that is ____________________ and _____________________________.
3. Find the interior angle sum of a 16-sided polygon.
3. _________________
4. Find the exterior angle sum of a 13-sided polygon.
4. _________________
5. Find the measure of one interior angle of a regular decagon.
5. _________________
6. Find the measure of one exterior angle of a pentagon.
6. _________________
7. Find the measure of one exterior angle of an equiangular 15-sided polygon.
7. _________________
8. For a regular polygon, one exterior angle = 10°. Find the number of sides.
8. _________________
9. For a regular polygon, one interior angle = 45°. Find the number of sides.
9. _________________
10. For an equiangular polygon, one interior angle = 150°. Find the interior angle sum. 10. __________
11. For a regular polygon, one exterior angle = 36°. Find the interior angle sum.
11. __________
12. For a square with a side of 8 ft, find its area.
12. ________________
13. Find the area of a rectangle with a base of 4 cm and diagonal of 8 cm.
13. ________________
14. Find the perimeter of a square whose area is 40 m².
14. ________________
15. Find the area of a rectangle with a height of 7 mm and a perimeter of 30 mm.
15. ______________
16. Find the perimeter of a rectangle with a base of 3 ft and an area of 63 ft².
16. ________________
17. Find the area of a square with a perimeter of 64 yds.
17. ________________
18. Find the area of each shaded region.
18 m
a)
b)
6 cm
9 cm
11 cm
12 m
14 cm
5m
8m
19. Find the area of the polygon made up of rectangles.
4
5
5
14
[A] 46 ft 2
[B] 14 ft 2
[C] 221 ft 2
[D] 106 ft 2
20. A rectangle is 21 inches long. The area of the rectangle is 336 square inches. What is
the width?
[A] 16 in.
[B] 72 in.
[C] 74 in.
[D] 14 in.
21. Find the value of x if the area is 2.86 square centimeters. The diagram is not to scale.
x cm
2.2 cm
22. Find the area of the triangle. The diagram is not to scale.
10 ft
23 ft
12 ft
14 ft
[A] 70 ft 2
[B] 322 ft 2
[C] 230 ft 2
[D] 140 ft 2
23. Find the area of the figure. The diagram is not to scale.
11 cm
10 cm
16 cm
11 cm
13 cm
24. Find the area of the shaded triangle.
24 mm
25. Find the area of the triangle.
41
9
a
[A] 180 square units
[B] 360 square units
[C] 841 square units
[D] 90 square units
26. Find the area of the polygon by using the triangle and rectangle shown.
5 ft
6 ft
11 ft
[A] 46.75 ft 2
[C] 121 ft 2
[B] 935
. ft 2
[D] 132 ft 2
27. Find the area of the shaded region.
a)
b)
15
40
15
17
20
25
28. Find the area of each triangle shown:
a)
b)
60
60
18
18
29. Find the area of an equilateral triangle with a perimeter 48.
ANSWERS
1. a) convex
3. 2,520
7. 24
b) concave
4. 360
8. 36 sides
13. 16 3 cm
19. D
20. A
27. a) 50 5
c) concave
5. 144
d) convex
6. Impossible to answer! (Doesn’t say ‘regular’ or ‘equiangular’!)
9. Impossible (can’t have 2.6 sides!)
14. 8 10 m
15. 56 mm²
21. 2.6 cm
b) 260
2. equilateral & equiangular
22. A
16. 48 ft
23. 215 cm²
28. a) 162 3
b) 54 3
10. 1,800
17. 256 yd²
24. 288 mm²
29. 64 3
11. 1,440
12. 64 ft²
18. a) 60 cm² b) 166 m²
25. A
26. B