Find the area of the polygon in square units 1.7 2.13 3.15 4.7

1 answer

To find the area of a polygon, you need to know the coordinates of its vertices. From the coordinates you provided (1.7, 2.13, 3.15, 4.7), it seems like you have the x and y coordinates of the vertices.

To find the area of this polygon, you can use the Shoelace Formula. The formula is as follows:

Area = 1/2 * |(x1y2 + x2y3 + ... + xn-1yn + xn*y1) - (y1x2 + y2x3 + ... + yn-1xn + yn*x1)|

Given the coordinates (1,7), (2,13), (3,15), and (4,7), you can plug these coordinates into the Shoelace Formula to find the area of the polygon.

Area = 1/2 * |(1*13 + 2*15 + 3*7 + 4*7) - (7*2 + 13*3 + 15*4 + 7*1)|

Area = 1/2 * |(13 + 30 + 21 + 28) - (14 + 39 + 60 + 7)|

Area = 1/2 * |92 - 120|

Area = 1/2 * |-28|

Area = 14 square units

Therefore, the area of the polygon with the given coordinates is 14 square units.