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Area of
trapezoids
   (b1 + b2 )h
A=
        2
Why?
Trapezoids:
Bases: are the two
sides that are parallel
                          base
height: is measurement
of the line that is
perpendicular (forms a    ht
                          ht
90 angle) to one of the
   0



bases.                     base
#1                       22
                            cms
                    14
     (b1 + b2 )h    cms           8
  A=                              cms

          2                34
                           cms


   ( 22 + 34 ) 8      ( 56 ) 8
A=                  =
          2               2

              448
           A=
                2         A = 224 cms   2
#2                      6.5 km


                  14
   (b1 + b2 )h    cms             11 km
A=
        2               12.5 km



   ( 6.5 + 12.5 )11         ( 19 ) 11
A=                        =
           2                    2

            209
         A=
              2         A = 104.5 km      2
#3                        18
                             cms
                    8
     (b1 + b2 )h    cms            6
  A=                               cms

          2                 30
                            cms


   ( 18 + 30 ) 6      ( 48 ) 6
A=                  =
          2               2

              288
           A=
                2         A = 144 cms    2
Base lines
   #4                    Trapezoid                             Are
                                            Trapezoid #2
                         #1                                   Parallel
     (b1 + b2 )h
  A=                                 28
          2                                          16      height is
                     5
                                                           Perpendicular
                                                              to base
                              19            11

     ( 5 + 28 ) 19                                  ( 28 + 16 ) 11
 A=                                              A=
           2                                               2
                                 313.5
   ( 33 ) 19                                          ( 44 ) 11
A=                              +242              A=
        2                                                 2
                                 555.5
           627                                         484
        A=                      Add both
                                                    A=
            2                    Areas
                                                        2
                                Together!
           A = 313.5                                 A = 242
Base lines
   #5                    Trapezoid                             Are
                                            Trapezoid #2
                         #1                                   Parallel
     (b1 + b2 )h
  A=                                 24
          2                                       13         height is
                     7                                     Perpendicular
                                                              to base
                              15            10

     ( 7 + 24 ) 15                              ( 24 + 13 ) 10
 A=                                          A=
           2                                           2
                                 232.5
   ( 31 ) 15                                      ( 37 ) 10
A=                              +185          A=
        2                        417.5                2
           465                                       370
        A=                      Add both
                                                  A=
            2                    Areas
                                                      2
                                Together!
           A = 232.5                               A = 185

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Area of trapezoids

  • 1. Area of trapezoids (b1 + b2 )h A= 2
  • 3. Trapezoids: Bases: are the two sides that are parallel base height: is measurement of the line that is perpendicular (forms a ht ht 90 angle) to one of the 0 bases. base
  • 4. #1 22 cms 14 (b1 + b2 )h cms 8 A= cms 2 34 cms ( 22 + 34 ) 8 ( 56 ) 8 A= = 2 2 448 A= 2 A = 224 cms 2
  • 5. #2 6.5 km 14 (b1 + b2 )h cms 11 km A= 2 12.5 km ( 6.5 + 12.5 )11 ( 19 ) 11 A= = 2 2 209 A= 2 A = 104.5 km 2
  • 6. #3 18 cms 8 (b1 + b2 )h cms 6 A= cms 2 30 cms ( 18 + 30 ) 6 ( 48 ) 6 A= = 2 2 288 A= 2 A = 144 cms 2
  • 7. Base lines #4 Trapezoid Are Trapezoid #2 #1 Parallel (b1 + b2 )h A= 28 2 16 height is 5 Perpendicular to base 19 11 ( 5 + 28 ) 19 ( 28 + 16 ) 11 A= A= 2 2 313.5 ( 33 ) 19 ( 44 ) 11 A= +242 A= 2 2 555.5 627 484 A= Add both A= 2 Areas 2 Together! A = 313.5 A = 242
  • 8. Base lines #5 Trapezoid Are Trapezoid #2 #1 Parallel (b1 + b2 )h A= 24 2 13 height is 7 Perpendicular to base 15 10 ( 7 + 24 ) 15 ( 24 + 13 ) 10 A= A= 2 2 232.5 ( 31 ) 15 ( 37 ) 10 A= +185 A= 2 417.5 2 465 370 A= Add both A= 2 Areas 2 Together! A = 232.5 A = 185