SAT Math Multiple Choice Practice Question 538: Answer and Explanation
Note: Figure not drawn to scale.
If B is the midpoint of and E is the midpoint of , what fraction of ΔACD is shaded?
Correct Answer: E
E Plug in numbers for the base and height of triangle ACD. For example, AC = 10 and AD = 8. The area of ACD is therefore (10)(8) = 40. The area of ABE is (5)(4) = 10. The area of the shaded region is therefore 40 – 10 = 30, so the fraction of ACD that is shaded is .