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Kking03
You set up the equation by adding all sides together. Then set the equation equal to 102 since that is the total perimeter. To solve for the variable, (a) you first want to combine like terms. (That is where the picture starts)
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emily10898Emily10898

Answer:

The longest side length is 31.764705882352941

Step-by-step explanation:

Add up all the sides and then make it equal to 102

To get perimeter you add up all the sides

 (12a) + (6a + 8) + (6a + 8) + (10a - 4) = 102

             (18a +8) + (16a + 4) = 102

                     34a + 12 = 102

                             - 12    - 12

                              34a = 90

                              [tex]\frac{34a}{34} = \frac{90}{34}[/tex]

                              a = 2.647058823529412

Then plug in a to 12a to get the longest side length

  12(2.647058823529412) = 31.764705882352941

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