11. The total area of a quilt is defined as the equation: A = x² + 13x + 36. Find the possible side lengths of the quilt.

asked Aug 22, 2022 13.5k views

14 votes

11. The total area of a quilt is defined as the equation: A = x² + 13x + 36. Find the possible side

lengths of the quilt.

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6 votes

Answer:

(x + 9)(x4)

Explanation:

$A = {x}^(2) + 13x + 36 \\ \\ = {x}^(2) + 9x + 4x + 36 \\ \\ = x(x + 9) + 4(x + 9) \\ \\ = (x + 9)(x+4)$

So, the possible side

lengths of the quilt are (x + 9) and (x + 4) units.

Call Me Steve answered Aug 28, 2022

7.6k points

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