Square

Suppose the square's sides' length decreases by a 25% decrease in the content area of 28 cm2. Determine the side length of the original square.

Correct result:

a =  8 cm

Solution:

a2((125/100)a)2=28  0.4375a228=0  p=0.4375;q=0;r=28 D=q24pr=0240.4375(28)=49 D>0  a1,2=q±D2p=±490.875 a1,2=±70.875 a1,2=±8 a1=8 a2=8   Factored form of the equation:  0.4375(a8)(a+8)=0 a=a1=8=8 cm

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