The diagram below consists of a semicircle with center Z and squares LIKE, MORE, and MATH. If the area of square LIKE is 100, what is the area of square MATH? Your answer must be exact.

3 BC Mei! Broward College Eligibility: You must be a Broward College student, currently enrolled in at least one class. Prizes: For each Math Challenge Contest, each campus will select one winner from the acceptable correct solutions. Acceptable correct solutions must have the correct answer and show appropriate work or reasoning to be eligible to win a prize. For each acceptable correct solution, the student will receive one entry into the Grand Prize drawing fora Tl-84CE graphing calculator! One calculator will be awarded per campus. Additional Rules: Each student may submit only one solution per contest. You may not submit a solution to more than one campus. Please submit a PDF ofyour solution to one of the email addresses below or turn your paper in to the math department on your campus. For Central Campus Submission: Bldg. 7. 2\"d Floor Contact: Prof. Geraci, sgenagibmwam For North Campus Submission: Bldg. 57. Room 101 Contact: Prof. Brooks. ihmokslbmaniedu For South Campus Submission: Bldg. 69. 2'\"1 Floor Contact: Prof. Muniz-Alvarez, lmunizalbmmedu For Online Campus Submission: Bldg. 57, Room 101 Contact: Prof. Brooks, jhnaokshmamm Deadline: WW1 You may work on the back of this page or attach additional pages if more space is needed. Print Your Name: Student ID: Current Math Class [if any): Campus Submitted: BC Email: Answer the following question. The diagram below consists ofa semicircle with center Z and squares LIKE, MORE. and MATH. Ifthe area ofsquare LIKE is 100, what is the area ofsquare MATH? Your answer must be exact. (Remember: Your solution must show appropriate work or reasoning.)