Question

The area of a rectangular plot is 465m ^2 the length of the plot is one more than twice its breadth. We need to find the length and breadth of the plot.

Answer 1

Hey.

Let breadth be x

the length of the plot will be 2x+1

As area of rectangle = l × b

so, 465 = x (2x + 1 ) = 2x^2 + x

so, 2x^2 + x - 465 = 0

so, 2x^2 - 30x + 31x - 465 = 0

so, 2x(x - 15) + 31(x - 15) =0

so, (x - 15)(2x + 31) =0

so, x = 15 ; and x = -31/2 ( neglected)

so, breadth = 15 m

length = 15×2 + 1 = 31 m

Thanks.

Answer 2

Answer : See the solution attached