SOMEBODY PLEASE HELP ME!!!!

Mathematics

1 answer:

charle [14.2K]3 years ago

4 0

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:

$\frac{perimeter \: of \: larger \: rectangle}{perimeter \: of \: smaller \: rectangle} = \frac{4}{3}$

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.

$\frac{x}{120} = \frac{4}{3} \\ \\ multiplying \: both \: sides \: by \: 120 \\ x = \frac{4}{3} (120) \\ x = 160$

So the perimeter of the larger rectangle = 160

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