Answer:
59.97 square units .
Explanation:
We are given the coordinates of the rectangle;
(-6,2), (2,-2), (5,4), and (-3,8)
- To get the area of the rectangle, we can first calculate the length and the width of the rectangle.
- To get the length and the width we are going to use the formula for getting magnitude;
- Magnitude = [tex]\sqrt{((x1-x2)^2 + (y1-y2)^2)}[/tex]
Thus;
Between (-6,2) and (2,-2)
Magnitude = [tex]\sqrt({(-4)^2+8^2)}[/tex]
[tex]=\sqrt{80}[/tex]
[tex]=8.94[/tex]
Between (2,-2) and (5,4)
Magnitude[tex]=\sqrt{(6^2+3^2)}[/tex]
[tex]=\sqrt{45}[/tex]
[tex]=6.708[/tex]
Therefore, the length of the rectangle is 8.94 units while the width is 6.708 units
But area of a rectangle is given by;
Area = Length × Width
Therefore;
Area = 6.708 units × 8.94 units
= 59.97 square units
Therefore the area of the rectangle is 59.97 square units .
