Page 126 - Math Course 1 (Book 2)
P. 126

Geometric Area: Parallelogram





         To f nd the number of square yards of grass needed,
         f nd the number of square yards of the entire lawn   Your Turn!
         and subtract the number of square yards where
         grass will not be needed. Grass will not be needed   Perimeter and Area of a Parallelogram
         for the vegetable garden, the garage, or the house
         and walkways.                                      A.  Find the perimeter of ▱DEFG.
                              200 ft                        A. 48 m
                                                            B. 45.2 m
                                                            C. 96 m
                 vegetable   40 ft
                  garden                                    D. 90.4 m

                  50 ft
                                grass
            150 ft         50 ft        100 ft

                                                              Answer
                                      house and
                    60 ft  garage
                                      walkways



         Entire lawn:                  b = 200 ft, h = 150 ft   B.  Find the area of ▱DEFG
         Vegetable Garden:        b = 50 ft, h = 40 ft      A. 18.2 m 2
         Garage:                  b= 50 ft, h = 60 ft       B. 381.9 m 2
         House and Walkways:      b= 100 ft, h = 60 ft      C. 567 m 2
                                                            D. 491.0 m 2
                             Area

                                                              Answer
                     Vegetable              House and
        Entire Lawn   Garden      Garage     Walkways
                                                           Real World Example

           A = bh      A = bh     A = bh      A = bh
                                                            The Wagners are planning to put hardwood f oors
                                                            in their dining room, living room, and kitchen. Find
                                                            the number of square yards of wood needed. To the
         = 200 • 150  = 50 • 40  = 50 • 60   = 100 • 60     nearest whole number.




        = 30,000 ft 2  = 2000 ft 2  = 3000 ft 2  = 6000 ft 2


         The total area is 30,000 – 2000 – 3000 – 6000 or
         19,000 square feet. There are 9 square feet in one
         square yard, so divide by 9 to convert from square
         feet to square yards.






                                                            A. 106 yd 2
                                                            B. 317 yd 2
                                                            C. 133 yd 2
                          They will need about 2111
             Answer                                         D. 122 yd 2
                             square yards of sod.
                                                              Answer


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