Question 1121931
<br>
Since the length of the diagonal is a whole number, and the difference between the side lengths is a whole number, the answer is going to have to be a Pythagorean triple.<br>
We can make a "scale model" of the parcel of land by dividing everything by 5; that makes the length 1 more than the width, and the diagonal is 29.<br>
Do you recognize a Pythagorean triple with hypotenuse 29?  It is (20,21,29).<br>
So the dimensions of the scale model rectangle are 20x21; the dimensions of the actual parcel are 100x105.