| Some of the questions in this unit may be answered by recording an audio file. If you chose to record the answer, click on the "Add Recording" button and follow the on-screen instructions closely. Once you have completed and attached the recording, enter the word “COMPLETE” in the text box. (Note: If your computer does not have a built-in microphone, a microphone or microphone/headset combination is needed to record audio.) |
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| 1) Area is the measurement of __________ and is measured in __________ units. |
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| The irregular area of a pond is mapped below on the grid. Each square on the grid is equivalent to 1 square yard. Refer to the figure to answer the next four questions. |
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| 2) What is the area of the regular parts of the pond (the rectangular and square areas)? |
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| 3) What is the approximate area of the irregular sections (the squares that are more than half-way shaded)? Select the answer that is closest to the estimated area of the irregular sections. |
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| 4) What is the approximate area of the pond? |
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| 5) Convert the total area of the pond from square yards to square feet. Refer to the answer in the previous problem to make the conversion. (Hint: 1 square yard = 9 square feet.) |
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| 6) What is the most reasonable estimate of the area of the irregular shape shown below? |
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| Area of a Rectangle and a Triangle |
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| 7) The figure below shows a rectangle overlaid by a triangle with the same base and height. Which of the following is true? |
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| 8) Explain how to derive the answer to the previous problem without reference to the numbers in the triangle and the rectangle. |
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| 11) Refer to the figure below to calculate the height of a triangle that has a base of 10 feet and its area is 40 square feet. Answer the following questions: (a) What number is missing in the equation in Step 2? (b) What number is missing in the equation in Step 3? (c) What is the height of the triangle? |
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| 12) Refer to the process in the previous question to solve the following problem. What is the length of a RECTANGLE that has height of 16 inches and an area of 240 square inches? Answer the following questions: (a) What is the complete equation for Step 2? (b) What is the base of the rectangle? |
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| Area of a Square and a Parallelogram |
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| 13) The formula for the area of a square can be written as A = s^2 and means “area equals side-squared”. Explain how the formula for the area of a square can be derived from the formula for the area of a rectangle. |
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| 14) How can a parallelogram be cut and rearranged to show that the area of a parallelogram can be calculated using “A = bh”, the same formula used when calculating the area of a rectangle? |
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| 18) Refer to the figure below to calculate the height of a parallelogram if its area is 962 square centimeters and the base is 26 centimeters. (a) What is the complete equation in Step 2? (b) What is the height of the parallelogram? |
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| 20) In the given figure, name the segment that is the height of the trapezoid and name the segments that are the bases. |
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| Pi is used when calculating the area of a circle. Use the rounded value of 3.14 for pi as needed. |
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| 26)
Follow the steps given below to calculate the radius of a circle that has an area of 1256 square feet? (a) What is the value for “r-squared” in Step 4? (b) What is the radius of the circle? |
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| For the next three questions, calculate the area of the circle, and then calculate the area of the circle sectors. Express all answers in hundredths. |
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| 27)
For a circle with a radius of 6 feet, (a) what the area of the circle and (b) if the circle is divided into 8 equal sectors, what is the area of 5 sectors? |
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| 28) The given circle has a radius of 23 centimeters and is divided into 8 equal circle sectors. (a) What is the area of the 3 sectors shaded with a dark color (burgundy)? (b) What is the area of the 5 sectors shaded with a light color (yellow)? |
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| 29) Refer to the previous problem to make and compare the following calculations? (a) What is the total area of the 8 circle sectors? (b) What is the area of the whole circle when calculated by using A = (pi)(r-squared) (c) How do the two areas compare? |
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| Area of a Composite Shape |
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| 31) What is the area of the given figure? Note: One dotted line is added to help visualize the figure as a composite figure of several rectangles. Add one more dotted line, and then find the total area of the figure. Make sure to add the line so that the length and width of the rectangle can be determined from the given lengths. |
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| 34) 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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