The sides of a square are decrease by 37%, find the % decrease in its area.the sides of a square are decrease by 37%, find the % decrease in its area.vvv
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let ' a ' be the side of square .
original area of square=side × side = a × a =a^2
if side decreased by 37 %
then new side = a - 37 % of a =a - 0.37a
= a( 1 - 0.37 ) = 0.63 a
new area of square = ( new side )^2
= ( 0.63a )^2 = 0.3969 a^2
decreased area = original area - new area
= a^2 - 0.3969 a^2
= a^2 ( 1 - 0.3969 ) = 0.6031 a^2
decrease % = decreased(A)/ original area×100
= 0.6031 a^2 / a^2 × 100
= 60.31
therefore
area of square decreased by 60.31%
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Your Answer : 60.31 %
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original area of square=side × side = a × a =a^2
if side decreased by 37 %
then new side = a - 37 % of a =a - 0.37a
= a( 1 - 0.37 ) = 0.63 a
new area of square = ( new side )^2
= ( 0.63a )^2 = 0.3969 a^2
decreased area = original area - new area
= a^2 - 0.3969 a^2
= a^2 ( 1 - 0.3969 ) = 0.6031 a^2
decrease % = decreased(A)/ original area×100
= 0.6031 a^2 / a^2 × 100
= 60.31
therefore
area of square decreased by 60.31%
_______________________________
Your Answer : 60.31 %
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