The perimeter of a sqare plot obtained by adding additional land measuring equal area is ?
To solve this question, we need to find out the perimeter of the original square plot and compare it with the perimeter of the new square plot.
Let's assume the side length of the original square plot is "a."
The area of the original square plot is given by A = a^2.
Now, let's consider the additional land that is added to the original square plot. Since the additional land has an equal area to the original square plot, its area is also A = a^2.
To find the side length of the new square plot, we take the square root of the area: sqrt(A) = sqrt(a^2) = a.
The original square plot and the additional land together form a new square plot. So, the side length of the new square plot is also "a."
The perimeter of the original square plot is given by P = 4a, as there are four sides of length "a" each.
Similarly, the perimeter of the new square plot is also P = 4a since all sides are of equal length.
Hence, the perimeter of the original square plot and the new square plot are the same, regardless of the size or area of the original square plot.