Diego is building a kitchen table and a coffee table. the legs of a kitchen table must be twice the height of a coffee table and there are 4 legs on each table. he writes the expression 4(2x) + 4(x) to model his building plans. what does 4(x) represent?

We have expression:
4(2x)+4(x)

Number 4 represents number of legs for each table.
x represents length of shorter legs, for a coffee table
2x reoresents length of longer legs, for a kitchen table

4(x) represents 4 times the length of one leg for coffee table. This is the amount of material needed for all 4 legs of coffee table.