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BELL WORK
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p to 2-32 When communicating measurements, it is important to be clear about the unit of measure that you are using. In other words, saying that you are “30 tall” or that a swimming pool is “8 big” tells you very little. Today you will learn about units of measurement for area that are often used. As you work, keep these questions in mind: How many ways can we measure the area? What is the unit?
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2-30. NATHANIEL’S PATIO Nathaniel decided to tile his rectangular patio with square tiles. He had 14 blue square tiles and wanted to lay them throughout the area to make a design. He set the tiles inside the patio border as shown in the diagram at right. Now he needs your help to figure out how many white tiles (of the same size) he needs to finish the job.
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(cont.) What is the total area of Nathaniel’s patio as measured in patio tiles? With a diagram, explain how you arrived at your answer. How many white tiles does he need to finish the job? You can assume that the white tiles are the same size and shape as the blue tiles. If the sides of the square tiles are 1 foot long, what are the dimensions (the length and width) of Nathaniel’s patio? What is the area of the patio (using correct units)?
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The area of a rectangle is the number of square units (all of the same size) that completely fill the inside of the rectangle without gaps or overlaps. How many square centimeters will fill a rectangle that is 5 centimeters by 3 centimeters? Sketch the situation. How many square inches will fill a rectangle 6 inches by 2 inches? Sketch the situation.
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2-31. (cont.) How many square feet will cover a rectangle 60 feet by 20 feet? Sketch the situation. Explain how you determined your answer. What is the area of a rectangular garden that is 60 feet by 20 feet?
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2-33. Consider the figure below
Consider the figure below. (Note that all corner angles are right angles.) Find the area of the figure at the right in at least two different ways. Explain how you get your answer with diagrams and remember to label them with the correct units. Find the perimeter of the figure.
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PRACTICE REVIEW
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PRACTICE REVIEW (cont.)
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PRACTICE REVIEW (cont.)
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PRACTICE Find the perimeter and area of each of the following irregular shapes.
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PRACTICE (cont.) Find the perimeter and area of each of the following irregular shapes.
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HOMEWORK
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