<PRE><B>Question 857702</B>
two rectangular plots are of equal area. the length of the first plot is one and a half times its width. the length of the second plot is 7 meter less than three times its width.


width of first plot = x

length of first plot = 1.5x


width of second plot = y
length of second plot =3y-7

(3/2)x^2 = y(3y-7)

x^2= (2y/3)(3y-7)

x^2= (2(x+1)/3) (3(x+1)-7)


x^2= (2x+2)/3 (3x-4)

3x^2= (2x+2)(3x-4)

3x^2=6x^2-8x+6x-8

3x^2-2x-8=0
3x^2-6x+4x-8=0

3x(x-2)+4(x-2)=0

(x-2)(3x+4)=0

x=2 the positive value




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