The square's side length decreases by 25%. Now it has an area of 28 cm2 lower. Find the side of the original square.

Correct answer:

a =  8 cm

Step-by-step explanation:

r=100%25%=110025=0.75 S=28 cm2  S1S2 = S a2(r a)2=S  a2(0.75 a)2=28 0.4375a228=0 a1,2=±28/0.4375=±8 a1=8 a2=8  a=a1=8=8 cm

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