Question

If the perimeter is 102, how long is the longest side?
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Answer 1

I believe the answer is 12a.

Answer 2

Perimeter is the sum of all the sides .The given sides are : 10a-4 ,6a+8,6a+8,12a

The given perimeter is 102 .We can form an equation:

10a-4+6a+8+6a+8+12a=102

Adding like terms :

34a +12=102

Subtracting 12 both sides:

34a= 90

Dividing by 34 both sides:

a=-2.65.

The given sides are :

6a+8= 23.9

12a= 31.8

10a-4=22.5

Among these 31.8 is the largest side .

So the side having 12 a length is largest.