Question

Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 20 feet, 18 feet, and 14 feet long. If the two shortest sides of quadrilateral EFGH are 6 feet long and 5 feet long, how long is the 4th side on quadrilateral ABCD

Answer 1

35/3 ft = 11 2/3 ft

Explanation:

We make a table of the lengths of the sides in descending order of side length. Each line contains two corresponding sides.

Quadrilateral Quadrilateral

ABCD EFGH

Side 1 20 ft ?

Side 2 18 ft ?

Side 3 14 ft 6 ft

Side 4 ? 5 ft

The line corresponding to side 3 is the only line that has the lengths of both corresponding sides.

The ratio of the length of sides in ABCD to EFGH is 14/6 = 7/3.

To find the length of the 4th sides of ABCD, we multiply the length of the 4th side of EFGH by the ratio.

7/3 * 5 ft = 35/3 ft = 11 2/3 ft