What is an alternative word to tell about 'over lit area'?
I am using it in this example:
The light from my lamp has over-lit my table.
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The verb overlight (one word) means
to illuminate too brightly
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The light from my lamp has overlit my table.
2 [no object, with adverbial of direction]
(Of a light or light source) shine brightly
The bright lights were still beaming down as bright as ever. (ODO)
Here's a Google Ngram showing the 10 most frequently used prepositions with "light beamed..." some of them are: from, on, upon, over...
So your sentence might read:
The light from my lamp beamed over my table.*
The light from my lamp beamed on my table.
The light beamed from the lamp above/beside my table.
*Note that this is another meaning of 'over' - here it means to extend over an area (i.e. your table) it is not a prefix over- (used to denote something is excessive) like in your word overlit.