The length of fourth side is: 8a-2
Step-by-step explanation:
Given
Perimeter = P = 39a-7
[tex]Side1 = s_1 =9a\\Side2=s_2=5a+1\\Side3=s_3=17a-6\\Side4=?[/tex]
The perimeter is given by:
[tex]P = s_1+s_2+s_3+s_4\\39a-7 =9a+5a+1+17a-6+s_4\\39a-7=31a-5+s_4\\s_4=39a-31a-7+5\\s_4=8a-2[/tex]
The length of fourth side is: 8a-2
Keywords: Perimeter, trapezoid
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