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:
<u>Given coordinates on the graph </u>
A (-5, 5)
B (-5. -3)
C (1, -3)
<u>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</u>
A (-5, 5)
B (-5, -3)
5 - (-3) = 5 + 3 = 8
<u>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</u>
B (-5, -3)
C (1, -3)
1 - (-5) = 1 + 5 = 6
<u>Given expression</u>
A = (1/2) · b · h
<u>Substitute values into the expression</u>
A = (1/2) · (6) · (8)
<u>Simplify by multiplication</u>
A = (1/2) · (48)

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