Two rectangals are similar. the ratio of their coresponding sides is 1: 4what is the ratio of thier preimeters

Step-by-step

Between similar figures, if the ratio between the sides is k, then

- ratio between linear measurements, such as diagonals, perimeter, width, heights, etc, are also linear.

Therefore, if the ratio of the corresponding sides is 1:4, the ratio of their perimeters is also 1:4.

Note:

the ratio of area measurements,  or surface areas of similar solids, are proportional to k^2.

Similarly, the ratio of volumes of similar solids are proportional to k^3.

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

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the answer is b.

64

step-by-step explanation:

c=2πr=2·π·8≈64