The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.

Let's denote the breadth of the plot as x (in meters). According to the problem, the length of the plot is one more than twice its breadth, so we can denote the length as 2x + 1.

The area of a rectangle is calculated by multiplying its length by its breadth. So, we can set up the following equation to represent the area of the plot:

x * (2x + 1) = 528

Expanding this equation gives:

2x^2 + x - 528 = 0

This is a quadratic equation, and we can solve it by factoring, completing the square, or using the quadratic formula. The quadratic formula is:

x = [-b ± sqrt(b^2 - 4ac)] / (2a)

In our equation, a = 2, b = 1, and c = -528. Plugging these values into the quadratic formula gives:

x = [-1 ± sqrt((1)^2 - 42(-528))] / (2*2) x = [-1 ± sqrt(1 + 4224)] / 4 x = [-1 ± sqrt(4225)] / 4 x = [-1 ± 65] / 4

This gives us two possible solutions: x = 16 or x = -66. However, since we're talking about a physical plot of land, the breadth can't be negative. So, we discard x = -66 and are left with x = 16.

So, the breadth of the plot is 16 meters, and the length of the plot is 2*16 + 1 = 33 meters.