Answer:
C) 28√17
Step-by-step explanation:
The perimeter is twice the sum of the two given side lengths, so is ...
P = 2(L +W) = 2(2√153 +4√68)
= 2(6√17 +8√17) = 2(14√17)
P = 28√17 . . . . . matches choice C
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This is about simplifying radicals. The applicable rules are ...
√(ab) = (√a)(√b)
√(a²) = |a|
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153 = 9×17, so √153 = (√9)(√17) = 3√17
68 = 4×17, so √68 = (√4)(√17) = 2√17
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<em>Comment on the problem presentation</em>
It would help if there were actually radicals in the radical expressions. We had to guess based on the spacing and the answer choices.
In any event, this problem can be worked with a calculator. Find the perimeter (≈115.45) and see which answer matches that. (That's what I did in order to verify my understanding of what the radical expressions were.)
