Question

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

Answer 1

12a

12a = 96

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

Answer 2

`longest ~side=96`

Explanation:

`perimeter=12a+6a+8+10a+4+6a+8`

`34a+12=284`

`34a=284-12=272`

`a=272/34=8`

`sides~ will~ be`

`12a`
`6a+8`

`12*8,~~ 6*8+8`

`10a-4 ~~~ 6a+8`

`10*8-4, ~6*8+8`

`96,~~56~,~76,~~56`

`so, ~the ~longest~side~is ~96`

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hope it helps....

have a great day!!