Answer:
w = 36 inches
Step-by-step explanation:
Since the two rectangles are similar, the ratios of their height is equal to the ratio of their widths.
Therefore, you can make an equation such that:
[tex]\frac{width_1}{width_2} = \frac{height_1}{height_2}[/tex]
width 1 = 9 inches
width 2 = w inches
height 1 = 20 inches
height 2 = 80 inches
Plug into the ratio equation:
[tex]\frac{9}{w} =\frac{20}{80}[/tex]
[tex]\frac{9}{w}=\frac{20 * 1}{20 * 4}= \frac{1}{4}[/tex]
[tex]\frac{9}{w} =\frac{1}{4}[/tex]
[tex]9 * 4 = 1 * w[/tex]
w = 9 * 4 = 36 inches
