9514 1404 393
Answer:
x = 3.6
Explanation:
It can be helpful to write down corresponding sides and their measures.
AB = 5, PQ = 6
BC = 3, QR = x
CD = 2, RS = 2.4
DA = 4, SP = 4.8
Then you can look for easy ways to find x. You can tell from this table that all of the values in PQRS are 6/5 = 1.2 times the corresponding values in ABCD.
Then ...
QR = 1.2×BC = 1.2×3
QR = x = 3.6
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Other ways you can figure x are ...
x/BC = PQ/AB
x = (BC)(PQ/AB) = 3(6/5) = 3.6 . . . . the method we used
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x/RS = BC/CD
x = 2.4(3/2) = 3.6
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x/SP = BC/DA
x = 4.8(3/4) = 3.6