Question

Whats the area of this figure: (-5,3)(0,-1)(4,4)

Answer 1

The given figure is a triangle.

Let points be P(-5,3), Q(0,-1) and C(4,4)

Using coordinate geometry we can determine the area by:

Area = Mod ($\frac{Px * (Qy - Ry) + Qx * (Ry - Py) + Rx (Py - Qy)}{2}$)

Px, Qx, Rx refers to x coordinates of point P, Q and R, respectively

Py, Qy, Ry refers to y coordinates of point P, Q and R, respectively

Substituting the values in the area formula:

Area = Mod ($\frac{(-5)*(-1-4) + 0*(4-3) + 4* (3-(-1))}{2}$)

⇒ Area = Mod ($\frac{-5*-5 + 0 + 4 * 4}{2}$

⇒ Area = Mod ($\frac{41}{2}$)

⇒ Area = 20.5 sq. units