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A=(x-4)(x+7)
A=x^2+7x-4x-28
A=x^2+3x-28
x(x+3x)=28
X=0
x+3x=28
4x=28
x=28/4
x=7
Ahora sustituyes x en L y en A.
L=7-4=3
A=7+7=14
Área =3 x 14= 42
Área del rectángulo =42cm^2