Celina had a rectangular tablecloth with dimensions x feet and 3 feet. She put lace along 4 feet of the edge of the tablecloth.
An expression is shown below:

(2x + 6) - 4

Part A: What does the expression represent?

Part B: What does 2x + 6 represent?

Part C: What does 2x represent?

Question

Celina had a rectangular tablecloth with dimensions x feet and 3 feet. She put lace along 4 feet of the edge of the tablecloth.
An expression is shown below:

(2x + 6) - 4

Part A: What does the expression represent? 

Part B: What does 2x + 6 represent? 

Part C: What does 2x represent?

fairy733189 · Answer

@vishweshshrimali5

arcticfoxzx87 · Answer

can i help

fairy733189 · Answer

of course!!!

arcticfoxzx87 · Answer

Part A: The expression represent the dimensions of the tablecloth

arcticfoxzx87 · Answer

Im gonna break part b down for u okay

fairy733189 · Answer

ok

arcticfoxzx87 · Answer

So 2x+6 ok so 2x represents the X feet and 6 I guess is part of what makes the equation true but 2 and X are factors so that means to me that 2 is the factor and X is just a Variable that can be any number like 1.

arcticfoxzx87 · Answer

2X Rpresents 2 represents the factor and x represents the variable

arcticfoxzx87 · Answer

ok thats my answer i have to go bye

fairy733189 · Answer

bye thanks

fairy733189 · Answer

@mathmale

mathmale · Answer

"Celina had a rectangular tablecloth with dimensions x feet and 3 feet. She put lace along 4 feet of the edge of the tablecloth."  Could you write an expression for the perimeter of the original tablecloth?

fairy733189 · Answer

would that be 2x+6?

mathmale · Answer

Yes.  Now Celina puts edging along 4 feet of her tablecloth.    If that's the case, then what does (2x+6)-4 represent?

fairy733189 · Answer

the perimeter of the tablecloth with the 4 ft. of lace

mathmale · Answer

Wouldn't it be, rather, the perimeter of the tablecloth that does NOT have 4 feet of lace attached?

mathmale · Answer

2x+6 is the full perimeter; (2x+6)-4 is "4 feet less than the full perimeter."

fairy733189 · Answer

so then 2x + 6 is the perimeter INCLUDING the 4 ft. of lace?

mathmale · Answer

2x+6 is the perimeter of the tablecloth with NO lace attached.  If you attach 4 ft. of lace, then the remainder of the perimeter is (2x+6)-4.

fairy733189 · Answer

so then 2x + 6 is with the lace?

mathmale · Answer

Without lace.

Forgetting the lace for a moment, the perimeter is 2x+6.

If you sew 4 feet of lace onto the tablecloth's perimeter, then 2x+6-4 of the edge of the tablecloth is bare, unfinished, without lace.

fairy733189 · Answer

ooohhhh ok I understand now

mathmale · Answer

Very glad.  Good luck!  Buen suerte!

fairy733189 · Answer

wait but what about the 2x

fairy733189 · Answer

what does 2x represent?

mathmale · Answer

Celina had a rectangular tablecloth with dimensions x feet and 3 feet.
The perimeter of a rectangle is P=2L + 2W.  Thus, if the Length is x, the Perimeter is P=2x + 6.   You tell me:  what does x represent?  What does 2x represent?  Why multiply x by 2?

fairy733189 · Answer

Does it represents 2 sides of the tablecloth?

fairy733189 · Answer

sorry of the table?

mathmale · Answer

The problem statement doesn't say whether it's the length that's x or that it's the width that's x.   Let's just say that "x is one dimension of the table cloth, whereas 3 is the other, and thus the perimeter of the cloth is P = 2x + 2(3) = 2x + 6.

mathmale · Answer

so 2x would represent the length of either 2 sides of the cloth or 2 ends of the cloth.

fairy733189 · Answer

sorry I didn't answer my internet stopped working

fairy733189 · Answer

and ok I understand now. Thanks for helping!!!

fairy733189 · Answer

do you think you can help me with one more or do you have to go?

mathmale · Answer

Let's see what you have.  One more.