Find the area of the polygon. 3,1,1,7.2,6
? Square units.
To find the area of the polygon with coordinates (3,1), (1,7), (2,6), we can use the Shoelace formula.
The Shoelace formula is:
Area = 1/2 * |(3*7 + 1*6 + 1*2 + 7*1 + 2*3) - (1*1 + 7*2 + 6*3 + 2*7 + 3*1)|
Calculating this, we get:
Area = 1/2 * |(21 + 6 + 2 + 7 + 6) - (1 + 14 + 18 + 14 + 3)|
Area = 1/2 * |42 - 50|
Area = 1/2 * |-8|
Area = 4 square units
Therefore, the area of the polygon with coordinates (3,1), (1,7), (2,6) is 4 square units.