Pentagons STUVW and XYZAB are similar with XY=32, YZ=36, ST= 4c + 2 and TU= 5c + 2, find the length of ST
1 answer:
Answer:
ST = 4
Step-by-step explanation:
If the pentagons are similar, the ratio between a pair of sides of one pentagon is the same ratio for the similar pair of sides of the second pentagon, so we have that:
XY / YZ = ST / TU
32 / 36 = (4c + 2) / (5c + 2)
8 / 9 = (4c + 2) / (5c + 2)
8*(5c + 2) = 9*(4c + 2)
40c + 16 = 36c + 18
4c = 2
c = 0.5
So the length of ST is:
ST = 4c + 2 = 4*0.5 + 2 = 4
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Answer:
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Step-by-step explanation:
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