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

`Width = 5x + 1`

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