Answer:
CD = 38
Step-by-step explanation:
Since AB = 3x + 2, CD = 3x + 2
To solve for the length of CD, we'll need to solve for x first by using the perimeter formula
Solving for x...
[tex](3x+2)+(3x+2)+2x+2x=124[/tex]
[tex]3x + 3x + 2x + 2x = 120[/tex]
[tex]10x=120[/tex]
[tex]x=\frac{120}{10}[/tex]
[tex]x=12[/tex]
Now that we know what x equals, plug in x into the expression of side CD
CD = 3x + 2
CD = 3(12) + 2
CD = 36 + 2
CD = 38
Therefore, the length of side CD = 38
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Check:
AB = CD | BC = DA
38 + 38 for AB and CD
BC + DA = 2x + 2x
BC + DA = 2(12) + 2(12)
BC + DA = 24 + 24
BC + DA = 48
38 + 38 + 48 = perimeter
perimeter = 124
