Respuesta :
the width of Yun's area model is 7x units or ( x-2 )units .
Step-by-step explanation:
Here we have , Yun was trying to factor 7x^2-14x. He found that the greatest common factor of these terms was 7x and made an area model: What is the width of Yun's area model. Let's find out:
We know that area of rectangle :
⇒ [tex]Area = length(width)[/tex] .........(1)
Now , According to question we have
⇒ [tex]Area = 7x^2-14x[/tex]
⇒ [tex]Area = 7x(x-2)[/tex]
Comparing this equation to equation (1) we get that :
⇒ [tex]width = 7x[/tex] or , [tex]width =x -2[/tex]
Therefore , the width of Yun's area model is 7x units or ( x-2 )units .
