Question

A rectangular plot of ground is 5 meters longer than it is wide, It’s area is 20,000 square meters

Answer 1

I'm assuming you're looking for the dimensions of the plot.  I'm going with that.  ;)  If the length of the plot is 5 meters longer than the width, then L = w + 5.  The area for a rectangle is L*w, and we have an area value of 20,000 so our formula is 20000=(w+5)(w) and $20,000=w^2+5w$.  We will bring the 20,000 over by subtraction and set the polynomial equal to 0 to factor and solve for w.  $w^2+5w-20,000=0$  Solving for w we get values of w=138.9 and -143.9.  Of course the 2 things in math that will never EVER be negative are time and distance/length, so -143.9 is out.  Our width is 138.9 and the length is 138.9 + 5 so the length is 143.9.  And there you go!  Hope that's what you needed!