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3 July, 02:54

Heng was trying to factor 10 x 2 + 5 x 10x 2 + 5x10, x, squared, plus, 5, x. She found that the greatest common factor of these terms was 5 x 5x5, x and made an area model:

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  1. 3 July, 03:17
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    Full question:

    Heng was trying to factor 10x²+5x. She found that the greatest common factor of these terms was 5x and made an area model: What is the width of Heng's area model?

    Answer:

    The width of the area model is 2x + 1

    Step-by-step explanation:

    Given

    Expression: 10x² + 5x

    Factor: 5x

    Required

    Width of the Area Model

    To solve this, I'll assume the area model is Length * Width

    Provided that we're to solve for the width of the model.

    This implies that; Length = 5x

    Area = Length * Width

    And

    Area = 10x² + 5x

    Equate these two

    Length * Width = 10x² + 5x

    Factorize express on the right hand side

    Length * Width = 5x (2x + 1)

    Substitute 5x for Length

    5x * Width = 5x (2x + 1)

    Divide both sides by 5x

    Width = 2x + 1

    Hence, the width of the area model is 2x + 1
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