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The ratio of the perimeters is equal to the scale factor. If rectangle #1 has sides L and W, then the perimeter is 2*L1 + 2*W1 = 2*(L1 + W1).
If rectangle # 2 is similar to #1 and sides are scaled by a factor S, so that L2 = S*L1 and W2 = S*W1, the perimeter of rectangle #2 is 2*(L2 + W2)= 2*(S*L1 + S*W1) = S*2*(L1 + W1) = S*(perimeter of rectangle #1).
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56 (: When we say polygon abcd is similar to polygon afge, they already told you which are the lines that are similar. ab:af=bc:fg=cd:ge etc. Lines ad and af are not similar in length and therefore cannot be used to find perimeter of polygon abcd even though the perimeter of polygon afge is given.
