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3 years ago

The perimeter of a trapezoid is 39a-7. Three sides have the following lengths : 9a, 5a + 1 and 17a -6

Mathematics

1 answer:

Assoli18 [71]3 years ago

4 0

The length of fourth side is: 8a-2

Step-by-step explanation:

Given

Perimeter = P = 39a-7

$Side1 = s_1 =9a\\Side2=s_2=5a+1\\Side3=s_3=17a-6\\Side4=?$

The perimeter is given by:

$P = s_1+s_2+s_3+s_4\\39a-7 =9a+5a+1+17a-6+s_4\\39a-7=31a-5+s_4\\s_4=39a-31a-7+5\\s_4=8a-2$

The length of fourth side is: 8a-2

Keywords: Perimeter, trapezoid

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