SOLUTION: A square has a perimeter of 36 centimeters. A smaller square has a side length of 4 centimeters. What are the ratio of the areas and the ratio of the perimeters of the larger squar

Question 817839: A square has a perimeter of 36 centimeters. A smaller square has a side length of 4 centimeters. What are the ratio of the areas and the ratio of the perimeters of the larger square to the smaller one?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
a = Lw
p = 2L + 2w
---
small sqr (m):
s = 4
pm = 2*4 + 2*4 = 16
am = 4*4 = 16
---
large sqr (n):
s = 36/4 = 9
pn = 36
an = 9*9 = 81
---
ratio of areas:
an/am = 81/16 = 5.0625
---
ratio of perimeters:
pn/pm = 36/16 = 2.25
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