Answer: Area of the figure = 24
Concept:
Here, we need to know how to find the area of a triangle.
Area (triangle) = (1/2) · b · h
b = base
h = height
Solve:
Given coordinates on the graph
A (-5, 5)
B (-5. -3)
C (1, -3)
To find the value of the height, we need to know the value of a vertical line, meaning the [x] value of the points on the line is equal. As we can see from the given coordinates, point A and point B has the same [x] value. The value of the height equals the difference between A and B's [y] value
A (-5, 5)
B (-5, -3)
5 - (-3) = 5 + 3 = 8
To find the value of the base, we need to know the value of a horizontal line, meaning the [y] value of the points on the line is equal. As we can see from the given coordinates, point B and point C has the same [y] value. The value of the base equals the difference between B and C's [x] value
B (-5, -3)
C (1, -3)
1 - (-5) = 1 + 5 = 6
Given expression
A = (1/2) · b · h
Substitute values into the expression
A = (1/2) · (6) · (8)
Simplify by multiplication
A = (1/2) · (48)
[tex]\boxed{A =24}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
