The perimeter of th triangle shown is 32ft.

what is the value of x?

12 1/4 + 6 1/3 + x

A. 13 5/12

B. 13 5/7

C. 14 5/12

D. 14 5/7

32 = 12 1/4 + 6 1/3 + x

get a common denominator for the fraction, 12

32 = 12 (1/4 * 3/3) + 6 1/3*4/4 + x

32 = 12 3/12 + 6 4/12 + x

add

32 = 18 7 / 12 + x

subtract 18 7 / 12 from each side

32 - 18 7/12 = x

borrow from 32

31 12/12 - 18 7/12 = x

13 5/12 = x

Choice A