Answer:
So the perimeter of the larger rectangle = 160
Step-by-step explanation:
We are given the scale factor of the two rectangles. We are given the perimeter of the smaller rectangle = 120.
Since the two rectangles are scaled, this means they have a common ratio. In other words:
[tex] \frac{perimeter \: of \: larger \: rectangle}{perimeter \: of \: smaller \: rectangle} = \frac{4}{3} [/tex]
As given in the question.
Now we know the smaller rectangle has a perimeter of 120.
Let's take the perimeter of the larger rectangles as x.
[tex] \frac{x}{120} = \frac{4}{3} \\ \\ multiplying \: both \: sides \: by \: 120 \\ x = \frac{4}{3} (120) \\ x = 160[/tex]
So the perimeter of the larger rectangle = 160
