Answer:
x = 18
Step-by-step explanation:
To write a proportion, we need to write down the data we have.
Shorter side of rectangle 1 = 6
Longer side of rectangle 1 = 13
Shorter side of rectangle 2 = x
Longer side of rectangle 2 = 39.
A proportion representing this would be: [tex]\frac{6}{13} = \frac{x}{39}[/tex]
Solving this proportion for x, we would have:
[tex]\frac{6}{13} =\frac{x}{39}\\x=\frac{6(39)}{13} \\x= \frac{234}{13} \\ x=18[/tex]
Therefore, the shorter side of the second rectangle is 18.
