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the figures below are similar. the labeled sides are corresponding. what is the perimeter of the larger rectangle?

the figures below are similar. the labeled sides are corresponding. what is the perimeter-example-1
User Box
by
4.7k points

1 Answer

2 votes

Solution

For this case we know this_

P1= 18mm

And the perimeter is given by:

18mm = 2*2mm + 2*H

18-4 = 2H

H= 7mm

The scale factor is:

6mm/2mm = 3

Then the height for the second rectangle is:

7*3 = 21mm

Therefore the perimeter is

P2= 2*6mm + 2* 21mm = 12+ 42 mm= 54mm

User Eshalev
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4.6k points