The sides of triangle A are one-half the lengths of the sides of triangle B. Which statement about the areas of the triangles is true?

a) The area of triangle A is one-fourth the area of triangle B.
b) The area of triangle A is one-half the area of triangle B.
c) The area of triangle A is twice the area of triangle B.
d) The area of triangle A is four times the area of triangle B.