document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #492227 by TimothyLamb(4379) $\"\"$ $\"About$

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a = Lw
\n" ); document.write( "p = 2L + 2w
\n" ); document.write( "---
\n" ); document.write( "small sqr (m):
\n" ); document.write( "s = 4
\n" ); document.write( "pm = 2*4 + 2*4 = 16
\n" ); document.write( "am = 4*4 = 16
\n" ); document.write( "---
\n" ); document.write( "large sqr (n):
\n" ); document.write( "s = 36/4 = 9
\n" ); document.write( "pn = 36
\n" ); document.write( "an = 9*9 = 81
\n" ); document.write( "---
\n" ); document.write( "ratio of areas:
\n" ); document.write( "an/am = 81/16 = 5.0625
\n" ); document.write( "---
\n" ); document.write( "ratio of perimeters:
\n" ); document.write( "pn/pm = 36/16 = 2.25
\n" ); document.write( "---
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