Page 40 - Math Course 2 (Book 1)
P. 40

Algebraic Equations: Use Formulas

           Mo. 1


           Lesson 9                                        Key Concept


                                                           Perimeter of a
          KEY CONCEPTS:                                    Rectangle
          1. Solve problems by using formulas.
          2. Solve problems involving the perimeters       Words     The perimeter of a rectangle is twice the
                                                                     sum of the length and width.
               and areas of rectangles.
                                                           Symbols P =   +   + w + w
                                                                     P = 2   + 2w    or   P = 2(  + w)
         MO. 1 - L9a
                                                           Model
             Solve Problems By Using                                  w

                         Formulas


                     Vocabulary A-Z                        Area of Rectangle
                     Let us learn some vocabulary
                                                           Words     The area of a rectangle is the product
                                                                     of the length and width.

                                                           Symbols A =   w
        Formula
                                                           Model
        is an equation that shows a relationship among
        certain quantities.                                           w


         d = rt, which shows the relationship between
            distance d, rate (or speed) r, and time t.


        Perimeter

        The distance around a geometric f gure is called the            Let’s Begin
        perimeter.




              W        P = 2     + 2W                     Real World Example

                                                            TRAVEL
                                                            If you travel 135 miles in 3 hours, what is your
                                                            average speed in miles per hour?
        Area                                                Method 1  Substitute f rst.

        The measure of the surface enclosed by a f gure is
        its area.                                                 d = rt   Write the formula.

                                                              135 = r • 3   Replace d with 135 and t with 3.

                                                             135
              W          A =    x  W                                  =   135  Divide each side by 3.
                                                              3     3
                                                                 45 = r   Simplify.




    32
   35   36   37   38   39   40   41   42   43   44   45