Question

Heng was trying to factor 10x^2+5x. She found that the greatest common factor of these terms was 5x5x5, x and made an area model:

Answer 1

Answer:

$Width = 5x + 1$

Step-by-step explanation:

Given

$Area = 10x^2 + 5x$

$Length = 5x$

Required (Missing)

Determine the Width?

Area is calculated as:

$Area = Length * Width$

Substitute values for Area and Length

$10x^2 + 5x = 5x * Width$

Factorize the right hand side

$5x(5x + 1) = 5x * Width$

Divide both sides by 5x

$5x + 1 = Width$

Hence, the width of the model is 5x + 1