SOLUTION: The area of the rectangular plot is 140m^2. The length of the plot (in metres) is one less than three times its breadth. We have to find length & breadth pf the plot.

Question 715247: The area of the rectangular plot is 140m^2. The length of the plot (in metres) is one less than three times its breadth. We have to find length & breadth pf the plot.

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The area of the rectangular plot is 140m^2. The length of the plot (in metres) is one less than three times its breadth. We have to find length & breadth pf the plot
let breadth be x
length is 3x-1
Area =
Area of rectangle = L * B
140 =x(3x-1)

Find the roots of the equation by quadratic formula
-1
a= 3 b= -1 c= -140
-1680
b^2-4ac= 1 -
b^2-4ac= 1681 = 41

41
x1=( 1 + )/ 6
x1= 7 ) /
x2=( 1 -41 6
x2= -6.67
Ignore negative value mph
x = 7
breadth = 7
length = 3(7) -1= 20
The dimensions are 7 & 20 m

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