Page 673 - Basic College Mathematics with Early Integers
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Objective                   9.4        AREA

           Find the Areas of Geometric
           Figures.
                                       Objective      Finding Areas of Geometric Figures
                                       Recall that area measures the amount of surface of a region.Thus far, we know how
                                       to find the area of a rectangle and a square. These formulas, as well as formulas for
                                       finding the areas of other common geometric figures, are given next:




                                         Area Formulas of Common Geometric Figures
                                        Geometric Figure                Area Formula

                                        RECTANGLE                       Area of a rectangle:
                                                                                     #
                                                                          Area = length width
                                                                            A = lw
                                        width


                                                 length

                                        SQUARE                          Area of a square:
                                                                                   #
                                                                          Area = side side
                                                                            A = s s = s 2
                                                                                #
                                        side


                                                side

                                        TRIANGLE                        Area of a triangle:
                                                                               1
                                                                                      #
                                                                          Area =  #  base height
                                                                               2
                                                  height                       1
                                                                            A =   bh
                                                                               2
                                                 base
                                        PARALLELOGRAM                   Area of a parallelogram:
                                                                                   #
                                                                          Area = base height
                                                                            A = bh
                                              height


                                                base
                                        TRAPEZOID                       Area of a trapezoid:

                                               one base or b                   1
                                                                                                        #
                                                                          Area =  #  1one base + other Base2 height
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                                                                               2
                                               height                          1
                                                                            A =  1b + B2h
                                                                               2
                                              other Base or B



                                           Use these formulas for the following examples.
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