How do you find the polynominal of perimeter and the area?

Answer 1

Finding the area of any planar polygon can be done in many ways.

If we are dealing with squares or rectangles, this all becomes much easier.

For one moment, let's look at a method that works for any and all planar polygons.It is called the surveyors method. You need to know the points that make up the vertices of the polygonal area.

Here is how it works. The surveyor's formula says if the vertices are

(x1,y1), (x2,y2), ..., (xn,yy), then

Area= A = (1/2)[Det(x1,x2,y1,y2)+Det(x2,x3,y2,y3)+ ... +Det(xn,x1,yn,y1)],

where Det(a,b,c,d) = a*d-b*c.

In the case of a square of length L, the area is L^2

If it is a rectangle of length L and width W, the area is LW.

The perimeter of the square is 4L and the perimeter of the rectangle is

2L+2W.

For any planar polygon, you find the perimeter by just adding the length

of the sides.