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Mastering Formulas: Solving Perimeter and Area Problems in Rectangles

In this lesson, you will learn how to effectively use formulas to solve problems related to the perimeters and areas of rectangles. Formulas provide systematic instructions for calculating unknown variables. You will explore examples such as finding average speed, calculating the perimeter using given dimensions, and determining the area of rectangles. Practical exercises will enhance your understanding and application skills. Prepare for upcoming tests with guided practice and review to solidify your knowledge.

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Mastering Formulas: Solving Perimeter and Area Problems in Rectangles

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  1. Lesson 3-7 Pages 131-136 Using Formulas

  2. What you will learn! • How to solve problems by using formulas. • How to solve problems involving the perimeters and areas of rectangles.

  3. Vocabulary

  4. What you really need to know! Formulas are sets of instructions that need to be followed. Write the formula. Replace the variables. Solve.

  5. Example 1: 45 mph If you travel 135 miles in 3 hours, what is your average speed in miles per hour? d = rt 135 = r(3) 45 = r

  6. Example 2: 70 cm Find the perimeter of the rectangle. p = 2l + 2w p = 2•20 + 2•15 15 cm 20 cm

  7. Example 3: The perimeter of a rectangle is 60 feet. Its width is 9 feet. Find its length. p = 2l + 2w 60 = 2l +2•9 60 = 2l + 18

  8. Example 3: 21 feet The perimeter of a rectangle is 60 feet. Its width is 9 feet. Find its length. 60 = 2l + 18 42 = 2l 21 = l

  9. Example 4: 84 ft2 Find the area of a rectangle with length 14 feet and width 6 feet. a = lw a = 14•6 a = 84 ft2 6 ft 14 ft Area Demo

  10. Example 5: 5 m The area of a rectangle is 40 square meters. Its length is 8 meters. Find its width. a = lw 40 = 8w 5 = w

  11. Page 133 Guided Practice #’s 4-9

  12. Read: Pages 131-133 with someone at home and study examples!

  13. Homework: Pages 134-136 #’s 10-32 even, 33-34, 38, 40 #’s 44-53 Lesson Check CH-3

  14. Page 730 Lesson 3-7

  15. Lesson Check CH-3

  16. Study Guide and Review Pages 138-140 #’s 1-38 (Odd answers in back of book)

  17. Prepare for Test! Page 141 #’s 1-25

  18. Prepare for Test! Pages 142-143 #’s 1-19

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