room vs place

[Xenophon]

English Language Tests, Intermediate level

ESL/EFL Test #277 "My computer and me", question 9

I have now bought a new computer which is perfect because it's very small and so doesn't take up much ..........

(a) area
(b) position
(c) room
(d) place

English Language Tests, Intermediate level

ESL/EFL Test #277 "My computer and me", answer 9

I have now bought a new computer which is perfect because it's very small and so doesn't take up much room.

Correct answer: (c) room

Your answer was: incorrect
I have now bought a new computer which is perfect because it's very small and so doesn't take up much place.
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Please,could you explain me why is place incorrect
Thank you very much
Xenophon

[Mister Micawber]

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'Place' is not an indicator of size. 'Space' would also be a good answer, but it is not one of the options offered.
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Native English teacher at Mister Micawber's