Goal 7_Review Geometry (Part-2)
Perimeter, Area and Volume #2
Basic Math / FND M020 FA 14 – 10404-10N30FD04-Nap (Prof. Abdon)
Student Name/ID:
1. Find the perimeter of the following polygon. Be sure to include the correct unit in your answer.
2. Find the perimeter of the square. Be sure to write the correct unit in your answer.
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3. Find the perimeter of the following triangle.
Write your answer as a mixed number in simplest form.
Be sure to include the correct unit in your answer.
4. A wire is first bent into the shape of a square. Each side of the square is
long. Then the wire is
what is its width?
unbent and reshaped into a rectangle. If the length of the rectangle is
5. Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
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6. Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
7. Find the area of this rectangle.
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8. Find the area and perimeter of the shaded figure below.
Area
_____ square units
Perimeter
_____ units
9. Find the area of the following rectangle.
Write your answer in simplest form.
Be sure to include the correct unit in your answer.
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10. Find the area of the following rectangle.
Write your answer in simplest form.
Be sure to include the correct unit in your answer.
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11. The figure below shows a rectangular court.
(a) Use the calculator to find the area and perimeter of the court.
Make sure to include the correct units.
Area:
Perimeter:
(b) The court will have a wood floor.
Which measure would be used in finding the amount of wood needed?
- Perimeter
- Area
(c) A strip of tape will be placed around the court.
Which measure would be used in finding the amount of tape needed?
- Perimeter
- Area
12. A rectangular field is
yards wide and
yards long.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.
width
yards
length
yards
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13. The perimeter of a rectangular field is
yards. If the length of the field is
yards, what is its width?
14. Find the area of the figure. (Sides meet at right angles.)
15. A rectangular garden measures
by
Surrounding (and bordering) the garden is a path
wide. Find the area of this path. Be sure to include the correct unit in your answer.
16. Find the area of the triangle below.
Be sure to include the correct unit in your answer.
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17. A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of
the shaded region. Be sure to include the correct unit in your answer.
18. Find the area of this parallelogram. Be sure to include the correct unit in your answer.
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19. Find the area of this trapezoid. Be sure to include the correct unit in your answer.
20. A circle with center
is shown in the figure below.
(a)Name a radius
(b)Name a diameter
(c)Name a chord
(d)If the length of
is
units,
what is the length of
?
21. A bike wheel has a diameter of
Use the value
for
What is its circumference?
, and do not round your answer. Be sure to include the correct unit in your
answer.
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22. A rose garden is designed by joining a rectangle and a semicircle, as shown below. The rectangle is
long and
wide. If the gardener wants to build a fence around the garden, how many feet of
for
fence are required? (Use the value
correct unit in your answer.)
and do not round your answer. Be sure to include the
23. Find the circumference and the area of a circle with diameter
Use the value
for
and do not round your answers. Be sure to include the correct units in your
answers.
24. A rectangular paperboard
long and
wide has a semicircle cut out of it, as shown below.
for
Find the area of the paperboard that remains. Use the value
Be sure to include the correct unit in your answer.
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and do not round your answer.
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25. A flower garden is shaped like a circle. Its diameter is
A ring-shaped path goes around the
garden. The width of the path is
The gardener is going to cover the path with sand. If one bag of sand can cover
how many bags
of sand does the gardener need? Note that sand comes only by the bag, so the number of bags must be
a whole number. (Use the value
for )
26. A rectangle is placed around a semicircle as shown below. The length of the rectangle is
Find the area of the shaded region. Use the value
include the correct unit in your answer.
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for
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27. Answer the questions about the solids below.
Figure A
Figure B
Figure C
Which figure shows a triangular prism? (A,B,C,None)
Which figure shows a rectangular pyramid? (A,B,C,None)
Which figure shows a cylinder? (A,B,C,None)
28.
Fill in the blank under each figure below.
29. The solid below is made from cubes.
Find its volume.
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30. Find the volume of the rectangular prism.
31. Find the volume of the solid below.
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32. Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
33. Find the volume of this rectangular pyramid.
Be sure to include the correct unit in your answer.
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34. The radius of a cylindrical water tank is
and its height is
What is the volume of the tank?
Use the value
for
and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
35. The gas tank of a truck is a cylinder
gas at the rate of
long with a diameter of
At the gas station, a pump pours
per minute. How many minutes does it take to fill the empty tank with that pump?
Use the value
for
and round your answer to the nearest minute.
36. Find the volume of a cone with a height of
and a base radius of
Use the value
for
and do not do any rounding.
Be sure to include the correct unit in your answer.
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37. The diameter,
of a sphere is
Use the value
computations.)
for
Calculate the sphere's volume,
and round your answer to the nearest tenth. (Do not round any intermediate
38. Here are three solids.
For each net below, select the solid above to which it folds.
39. Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
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40. The solid below is made from foot cubes. What is the total surface area of the solid? Be sure to
include the correct unit in your answer.
41. Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
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42. Find the surface area of a cylinder with a height of
and a base diameter of
Use the value
for
and do not do any rounding.
Be sure to include the correct unit.
43. The diameter
of a sphere is
Use the value
for
Calculate the sphere's surface area
and round your answer to the nearest tenth.
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Goal 7_Review Geometry (Part-2) Perimeter, Area and Volume #2 Answers
for class Basic Math / FND M020 FA 14 – 10404-10N30FD04-Nap
1.
2.
3.
4.
5.
6.
7.
8.
Area
square units
Perimeter
units
9.
10.
11.
(a) Use the calculator to find the area and perimeter of the court.
Make sure to include the correct units.
Area:
Perimeter:
(b) The court will have a wood floor.
Which measure would be used in finding the amount of wood needed?
Area
(c) A strip of tape will be placed around the court.
Which measure would be used in finding the amount of tape needed?
Perimeter
12. width
yards
length
yards
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13.
yards
14.
15.
16.
17.
18.
19.
20. (a)Name a radius:
(b)Name a diameter:
(c)Name a chord:
(d)If the length of
is
units,
what is the length of
?
units
21.
22.
23.
Circumference:
Area:
24.
25.
bags of sand
26.
27.
Which figure shows a triangular prism? None
Which figure shows a rectangular pyramid? A
Which figure shows a cylinder? B
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28.
29.
30.
31.
32.
33.
34.
35.
minute(s)
36.
37.
38.
39.
40.
41.
42.
43.
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