If the perimeter is 284, how long is the longest side?

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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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