| Perimeter, Circumference, Area |
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| 1) What is the difference between perimeter and area? |
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| 2) How are perimeter and circumference the same? How are they different? |
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| For the next four problems, solve for the missing measurement. Round the answers to the nearest tenth, if necessary. Label the answers correctly. |
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| 7) What is the difference between a polygon and a REGULAR polygon? |
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| Research the Internet to find the names of the various polygons indicated by the number of sides in the chart below. In your research, also find how the name “polygon” originated, and then answer the next two questions. |
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| 8) State each missing polygon’s name and how many sides the polygon has. |
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| 9) Write a paragraph about how the name “polygon” originated. Also state the website that you used as a reference. |
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| 11) Give a detailed explanation of how you figured the area in the previous problem. |
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| Find the perimeter and the area of each of the given rectangles, and then answer the next four questions. (Note: recall that squares are rectangles that have four congruent sides.) |
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| 18) You have 32 feet of fencing and want to determine the maximum area that can be enclosed with the fencing to make a flower garden. You do not want to deal with fractions or decimals, so you are limiting the dimensions to whole numbers. Also, the area is to be rectangular (or square) in shape. Copy or print out the chart below to organize your work. (a) What are the dimensions of the figure that yields the maximum area? (b) What is the area of the figure? |
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| 20) Explain how you determined the answer to the previous problem. |
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| For the next three problems, use these rectangles to conduct a small experiment. |
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| 25) Compare the new areas with the original areas. Consider what happens to the area of a rectangle when both dimensions are doubled. Write a general conditional statement (if-then) that illustrates the relationship of doubling both dimensions of a rectangle and how the area changes. |
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| 27) What is the difference between surface area and volume? |
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| 36) The dimensions of three rectangular prisms are given in the chart below. Find the volumes of the original prisms. Then double the length, width, and height of the rectangular prism and find the new volumes. Compare the new volumes with the original volumes. Consider what happens to the volume of a rectangular prism when the length, width, and height are doubled. Write a general conditional statement (if-then) that illustrates the relationship of doubling the dimensions of a rectangular prism and how the volume changes. Use the chart below to organize your work and make your observations. |
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| 38) Fill in the blanks shown in the Venn diagram below for the following conditional statement: If a snake is a reptile, then it is a cold-blooded animal”. State the letter and then the answer. |
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| Extended Research: Check with your instructor to see if he/she is interested in awarding extra credit to you for writing a one-page report on the following research topic: There are lots of naturally formed rectangles and interesting man-made constructions in which the “Golden Rectangle” with the “Golden Ratio” is used. Some say this rectangle is the most visually appealing to the eye. Research the Internet to find information about the “Golden Rectangle” and the “Golden Ratio” and places where it occurs naturally and also where it is used in man-made constructions. Provide pictures and text in your report. Prepare the report in a word-processing document and send it to your instructor via email. List the websites that you used for references. (To use a picture on a website, often times you can right-click on the picture, and then paste it into your document. Be sure to list the website from which the picture is borrowed in the references.) |
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| 39) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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