Answer:
A
Step-by-step explanation:
Δ EFC and Δ BAD are similar
Thus the ratios of corresponding sides are equal, that is
[tex]\frac{EF}{BA}[/tex] = [tex]\frac{EC}{BD}[/tex], substituting values gives
[tex]\frac{3}{5}[/tex] = [tex]\frac{2x+2}{4x}[/tex] ( cross- multiply )
12x = 5(2x + 2) ← distribute
12x = 10x + 10 ( subtract 10x from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Thus
BD = 4x = 4(5) = 20
CE = 2x + 2 = 2(5) + 2 = 10 + 2 = 12
