Question

What is the value of a?

Answer 1

Because the triangles are similar, we can form the proportion 3/4 = 4/a

Cross multiply and solve for 'a'

3/4 = 4/a
3*a = 4*4
3*a = 16
3*a/3 = 16/3
a = 16/3
a = (15+1)/3
a = (15/3)+(1/3)
a = 5+(1/3)

The answer is choice B)