Respuesta :

Answer:

[tex]longest ~side=96[/tex]

Step-by-step explanation:

[tex]perimeter=12a+6a+8+10a+4+6a+8[/tex]

[tex]34a+12=284[/tex]

[tex]34a=284-12=272[/tex]

[tex]a=272/34=8[/tex]

[tex]sides~ will~ be[/tex]

[tex]12a[/tex]     [tex]6a+8[/tex]

[tex]12*8,~~ 6*8+8[/tex]

[tex]10a-4 ~~~ 6a+8[/tex]

[tex]10*8-4, ~6*8+8[/tex]

[tex]96,~~56~,~76,~~56[/tex]

[tex]so, ~the ~longest~side~is ~96[/tex]

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hope it helps....

have a great day!!

Answer:

12a

12a = 96

Step-by-step explanation:

12a + (6a + 8) + (10a - 4) + (6a + 8) = 204

Combine like terms.

34a + 12 = 284

34a + 12 - 12 = 284 - 12

34a = 272

34a ÷ 34 = 272 ÷ 34

a = 8

Let's replace a and see.

6a + 8

6(8) + 8

48 + 8

56

12a

12(8)

96

10a - 4

10(8) - 4

80 - 4

76