Question

ASAP Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet, 16 feet, and 12 feet long. If the two shortest sides of quadrilateral EFGH are 9 feet long and 18 feet long, how long is the 4th side on quadrilateral ABCD? A. 8 feet B. 12 feet C. 10 feet D. 6 feet

Answer 1

D. 6 feet.

Explanation:

The third longest side of ABCD is 12 feet long and the third longest side of EFGH is 18 feet long.

As they are similar the corresponding sides are in the same ratio so

12/18 = x/9 where x is the 4th side of ABCD.

2/3 = x/9

3x = 18

x = 6 feet.