SOLUTION: A pentagon has an area of 128 square centimeters. A similiar pentagon has an area of 180 square centimeters. What is the ratio of the perimeters of the smaller pentagon to the larg
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Question 312991: A pentagon has an area of 128 square centimeters. A similiar pentagon has an area of 180 square centimeters. What is the ratio of the perimeters of the smaller pentagon to the larger pentagon?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A pentagon has an area of 128 square centimeters. A similiar pentagon has an area of 180 square centimeters. What is the ratio of the perimeters of the smaller pentagon to the larger pentagon?
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Area is a function of the square of the length of the sides.
Perimeter is a linear function, the 1st power of the lenght of the sides.
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A2/A1 = (P2/P1)^2 = 128/180
(P2/P1)^2 = 128/180 = 32/45
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