Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet, 32 feet, and 48 feet long. If the two shortest sides of quadrilateral EFGH are 9 feet long and 18 feet long, how long is the 2nd longest side on quadrilateral EFGH?

Question

Mathematics

Abigail Sandoval

4 February, 11:32

Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet, 32 feet, and 48 feet long. If the two shortest sides of quadrilateral EFGH are 9 feet long and 18 feet long, how long is the 2nd longest side on quadrilateral EFGH?

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Answers (1)

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Arely Bolton · Answer 1

24 feet

Step-by-step explanation:

The second longest side of ABCD is 32, and the second shortest side of that quadrilateral is 24. Then we can expect the second longest side of EFGH to be 32/24 times the length of its second shortest side:

(32/24) * (18 feet) = (4/3) * 18 feet = 24 feet

The length of the 2nd longest side of EFGH is 24 feet.