How do you find the area given the coordinates?

By finding the product of a point’s x coordinate times the next point’s y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.

How do you find the area of a polygon with 4 sides?

Use the following equation: Area = side × side or A = s. Example: If one side of a square has a length of 4 feet, (t = 4), then the area of this square is simply t2, or 4 x 4 = 16 square feet….Parallelograms include:

1. Squares: Four sides, all the same length.
2. Rectangles: Four sides; opposite sides have same lengths.

What is the area of this polygon?

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon’s center to the midpoint of any side that is perpendicular to that side.

How do you find the area of a polygon with the perimeter?

Know the correct formula. The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon.

What is the formula for area of regular polygon?

The area of a regular polygon is one-half the product of its apothem and its perimeter. Often the formula is written like this: Area=1/2(ap), where a denotes the length of an apothem, and p denotes the perimeter.

How to find the area of a polygon with n vertices?

Given ordered coordinates of a polygon with n vertices. Find the area of the polygon. Here ordered means that the coordinates are given either in a clockwise manner or anticlockwise from the first vertex to last. We can compute the area of a polygon using the Shoelace formula .

How do you find the X and Y coordinates of a polygon?

1 Make a table with the x,y coordinates of each vertex. Start at any vertex and go around the polygon in either direction. 2 Combine the first two rows by: Multiplying the first row x by the second row y. 3 Repeat this for rows 2 and 3, then rows 3 and 4 and so on. 4 Add these results, make it positive if required, and divide by two.

How to find the area of a graph with vertices?

First, number the vertices in order, going either clockwise or counter-clockwise, starting at any vertex. The area is then given by the formula Where xnis the x coordinate of vertex n, ynis the y coordinate of the nth vertex etc. The vertical bars mean you should make the reult positive even if it calculates out as negative.

Can you always divide a polygon into triangles?

We can always divide a polygon into triangles. The area formula is derived by taking each edge AB, and calculating the (signed) area of triangle ABO with a vertex at the origin O, by taking the cross-product (which gives the area of a parallelogram) and dividing by 2.