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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?

4(x) represents the height of one kitchen table leg.
4(x) represents the total length of all four kitchen table legs.
4(x) represents the height of one coffee table leg.
4(x) represents the total length of all four coffee table legs.

Respuesta :

D. 4(x) represents the total length of all four coffee table legs.

Solution:

we are given that

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 [tex]4(2x) + 4(x)[/tex] to model his building plans.

Here we can see one thing---x and 2x

and the question says

The legs of a kitchen table must be twice the height of a coffee table

It mean coffee table leg length[tex]=x[/tex]

Kitechen table leg length[tex]=2x.[/tex]

But in the expression each term has a  multiple of 4. It mean it include length of all the four legs.

Hence we can say

4(x) represents the total length of all four coffee table legs.