Find the Area of the Polygon

Question

Find the area of the polygon formed when these points are connected:

A: (1,7)

B: (1,1)

C: (5,1)

D: (5,7)

Area= ___ Units

Answer 1

As mentioned in the above answer, once you recognize that this is a rectangle, you can use the formula (length x width) to find its area. More specifically, I will go into how we can find the length and width of this rectangle.

When graphed, we find that point A is the upper left corner, and point C is the bottom right corner. We can subtract point C's y coordinate (1) from point A's y coordinate (7) to get the y distance between corners, which we will call the width: 7 - 1 = 6

By the same token, we can subtract point A's x coordinate (1) from point C's x coordinate (5), thus length = 5 - 1 = 4.

Once we have these distances, we can plug them into the formula length x width and get 6 x 4 = 24.

Answer 2

Hi,

When you graph this, it looks like you have a rectangle which is a type of a polygon. Thus we can use the area of a rectangle formula to calculate the area of the polygon.

Area of a Rectangle =. L x W

=. 6 x 4 = 24

I hope this helps! S.C.