How do you?

Question

Find the area of these points.....(5,4) (9,2) (-1,3) (2,-2)

and please show me how to work it. thank you.

Answer 1

You can't find area of points, because a point is simply a position in space.

However, if you were to connect these points to produce a boundary, then you could find the area of the bounded region.

One way to find the area of this region is to use Pick's Theorem..

which says the number of interior points (with integer coordinates) plus half the number of points on the boundary minus 1 will give you the area of a polygon.

If you graph these points on graph paper and count the number of points inside you will get 30.

If you count the number of points on the boundary.. you have the 4 given points plus one more (located at (7, 3)) for a total of 5 boundary points.

So, the Area is 30 + 5/2 - 1 or 31.5

I appears the the others are giving you the perimeter of a polygon and not the area.

Answer 2

Are you sure you have the numbers written down correctly, because what you are describing is an iregular shape that is very difficult to find the area. None of the sides are parallel or perpendicular, you can use the slope formula Y2-Y1/X2-X1 to find that out. The distance formula gives the distance between each set of point. When these points are plotted on a graph paper it forms a shape in which many other lines may be drawn in to make rectangles and triangles to calculate the area... very difficult.

Answer 3

2 A = [ 5(2) + 9(5) -1(-2) + 2(4) ] - [ 9(4) - 1(2) + 2(3) + 5(-2) ]
. . . = 65 - 30 = 35
A = 35 /2

yet the figure formed is a crossing line forming two triangles

Answer 4

First, graph the points on xy plain
Then, use the distance formula to find the lengths of the polygon.

The distance between (x1, y1) and (x2, y2) is given by
d = sqrt((x1-x2)^2 + (y1-y2)^2)

Answer 5

easy! graph them first! then find the distance between each pair. then it will be easier to find the area.