Respuesta :
Answer:
The width will be [tex]x^{2} +5x-4[/tex]
Step-by-step explanation:
Thinking process:
Let the model be:
[tex]4x^{2} +20x-16[/tex]
factoring out 4 gives:
[tex]4(x^{2} +5x-4)[/tex]
Factorizing the expression in the parentheses gives:
[tex]4(x^{2} +5x-4)[/tex]
Therefore, since the expression in the parentheses cannot be factorized further, the expression is:
[tex]length = 4 units\\width = x^{2} +5x-4[/tex]
The width of the area model is x^2 + 5x - 4
How to determine the width?
The area model is given as:
Area = 4x^2 + 20x - 16
Factor out 4 from the expression
Area = 4(x^2 + 5x - 4)
Express as product
Area = 4 * (x^2 + 5x - 4)
4 represents the length.
So, the width of the area model is x^2 + 5x - 4
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