It's quite possible that you'll become ravenously hungry if a. the ventromedial nucleus of your hypothalamus is stimulated. b. your lateral hypothalamus is destroyed. c. your hypothalamus is removed. d. someone stimulates your lateral hypothalamus.

it's quite possible that you'll become ravenously hungry if someone stimulates your lateral hypothalamus (option D) On the contrary, if the ventromedial nucleus of your hypothalamus is stimulated, (option A) you are going to lose your appetite. 
If the lateral hypothalamus is destroyed, you would lose interest in the food. 

Idon’t see any choices but i think it’s because it’s the work for that class and so the teacher doesn’t get confused

It’s letter b because the area of the trapezoid is 72