Is it possible to find the 4th side of a rectangle?

Question

Mathematics

Good day, friends!
I ask for your help in the matter of geometry, by and large ... a natural everyday situation.
Is it possible to mathematically find the 4th side of a rectangle if you know its 3 sides, width and area?
If this is real, could you briefly describe with the justification how this can be done?
The bottom line is that with the help of Themis I am trying to resolve the dispute over the border of the land. The site has 3 sides. (borders), but with the 4th problem :( "Expert" says that this is impossible ... but after his examination, there is no trust in him.
Save!
UPD: Please forgive me, I misled you. This is really not a rectangle, but a 4-gon .Sorry for not being accurate.

Answer 1

First, your lot is a convex quadrilateral, don't call it a rectangle.
Second, there are three options:
where p is the semiperimeter and
where p is the semiperimeter, e and f are the diagonals.
In short: Measure either diagonals or angles (any pair of opposite angles).

Answer 2

What is the problem?
You know a, a, b - two identical opposite sides and the third, which is equal to the fourth.
Well, or S = a * b ..
Maybe the fact is that your land is not a rectangle?

Answer 3

In a rectangle, opposite sides are parallel and equal
1) If three sides are known, then the fourth is also known, since it will be the opposite of one of the two
2)
area S \u003d a * b
a1 \u003d a2
b1 \u003d b2
that is, a1 \u003d a2 \u003d S / b1
If you are of course a rectangle, not a trapezoid

Answer 4

Take a map, draw on it three known sides of the site, connect the extreme points of the resulting broken line and voila - you have drawn the fourth side of the site.

Answer 5

If we name the sides of the quadrilateral starting from the left: a,b,c
We denote the desired side as d
Then by the Pythagorean theorem we get: d^2=b^2+(ca)^2
There is nowhere easier.