Question

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

lengths of the quilt.

Answer 1

(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.