Need with #3.. b is not the answer

Hello from MrBillDoesMath!

Choice "a"

Discussion:

See attachment for definition of sides

Perimeter = a + b + c    

where a,b are sides and c is the hypotenuse. So

Perimeter =

7 (1/2) +  7 ( sqrt(3)/2) + 7 =

7 ( 1/2 + sqrt(3)/2 + 1)  =                 => as 1/2 + 1 = 3/2

7( 3/2 + sqrt(3)/2) )     =                 => factor (1/2) form each term

(7/2) ( 3 + sqrt(3))

which is Choice "a".

Thank you,

MrB

answer

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step-by-step explanation: