Option A is correct. The solution represents one possible length and one possible width
Given the equation for the area of the pato expressed as:
(6 + x)(9 + x) = 88
Expand
54+6x+9x+x² = 88
54 + 15x + x² = 88
x² + 15x + 54 - 88 = 0
x² + 15x - 34 = 0
x² + 17x -2x - 34 = 0
x(x+17)-2(x+17) = 0
(x+17)(x-2) = 0
x+17 = 0 and x - 2 = 0
x = -17 and x = 2
Since the measure of the length and width cannot be zero, hence x = 2
Get the length and width
New length = 9 + x = 9 + 2 = 11ft
New width = 6 + x = 6 + 2 = 8ft
This shows that the solution represents one possible length and one possible width.
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