Answer: 8
Step-by-step explanation:
x² - 2x + ___ - 4y² = 15 + ___
x² - 2x + 1 - 4y² = 15 + 1
(x - 1)² - 4(y)² = 16
[tex]\frac{(x-1)^{2}} {16} - \frac{4(y - 0)^{2}}{16} = \frac{16}{16}[/tex]
[tex]\frac{(x-1)^{2}} {16} - \frac{(y - 0)^{2}}{4} = 1[/tex]
[tex]r_{x} = 4[/tex] [tex]r_{y} = 2[/tex]
width of rectangle is 2[tex](r_{x})[/tex] = 2(4) = 8
