Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 60 feet, 40 feet, and 30 feet long. If the two shortest sides of quadrilateral EFGH are 6 feet long and 12 feet long, how long is the 4th side on quadrilateral ABCD? A) 18 feet B) 24 feet C)16 feet D)20 feet

Answer:C) y = 16 feetStep-by-step explanation:the corresponding sides in ABCD are equal to their corresponding sides by EFGH multiplied by somethingall values are in feetlet x represent the unknown side in ABCDABCD lengths in order: x, 30 , 40 , 60let a and b represent the unknown sides in EFGHEFGH lengths in order: 6, 12, a, bthus, 30 corresponds to 12 as they are both the second shortest sidescorresponding side in EFGH * something = corresponding side in ABCD12 * something = 30let something be r12 * r = 30divide both sides by 12 to isolate rr = 30/12thus, to get a side in ABCD, we multiply the corresponding side in EFGH by 30/12we want to find the second longest side in EFGH. the corresponding side to that in ABCD is 40, as 40 is the second longest side in ABCDlet the second longest side in EFGH = yy * 30/12 = 40multiply both sides by 12/30 to isolate y40 * 12 / 30 = y = 16y = 16 feet