Heng was trying to factor 10x^2+5x10x 2 +5x10, x, squared, plus, 5, x. She found that the greatest common factor of these terms was 5x5x5, x and made an area model: What is the width of Heng's area model?

Given:

To Find:

width = ?

Solution:

Using formula:

As we know that area and length is given then width:

Therefore, the width is "2x+1".

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Width of Heng's area model is  2x + 1

Step-by-step explanation:

Given:

Greatest common factor is 5x

To Find:

The width = ?

Solution:

let the be the area

And  5x be the length

Then area  = length  x  width

Now rewriting the formula for width, we get

Width =

Substituting the values in the above formula

Width =

Width = 2x + 1