SOLUTION: Identify the perimeter and area of a square with diagonal length 16 cm. Give your answer in simplest radical form.

Question 935017: Identify the perimeter and area of a square with diagonal length 16 cm. Give your answer in simplest radical form.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
d = sqrt( aa + aa )
16 = sqrt( aa + aa )
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square both sides:
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16*16 = aa + aa
16*16 = 2aa
aa = 16*16/2
a = sqrt( 16*16/2 )
a = sqrt( 16*16 * 1/2 )
a = 16 * sqrt( 1/2 )
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perimeter = p
p = 2a + 2a
p = 4a
p = 4 * 16 * sqrt( 1/2 )
p = 64 * sqrt( 1/2 )
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area = aa
area = ( 16 * sqrt( 1/2 ) )( 16 * sqrt( 1/2 ) )
area = 16*16 * sqrt( 1/2 ) * sqrt( 1/2 )
area = 256 * ( 1/2 )
area = 128
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