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  • 09-01-2020
  • Mathematics
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The perimeter of a trapezoid is 39a-7. Three sides have the following lengths : 9a, 5a + 1 and 17a -6
What is the length of the fourth side?

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absor201
absor201 absor201
  • 15-01-2020

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

Learn more about perimeter at:

  • brainly.com/question/725998
  • brainly.com/question/7128279

#LearnwithBrainly

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