Here we go again ….. five more problems in our series on Challenging SAT Math Problems. These problems cover geometry, algebra & functions, sequences, listing & counting, and statistics; this is a post with a little bit of everything! Give them a try, and if you have any questions, be sure to let us know. The solutions appear at the bottom of this post.

1) ABCD is a rectangle. Point X is the midpoint of side BC and Point Y is the midpoint of side DC . If the area of pentagon ABXYD is 7/12, what is the area of the rectangle?

(A) 1/2

(B) 2/3

(C) 3/4

(D) 5/6

(E) 1