Answer:
Total Area = 42
Explanation:
|x| means the positive value of x. So |-5| = 5
Top Triangle
H: The height is the maximum y value from 4 to 2 or (4 - 2) which is 2. The x value for both points is the same (-1) and so the distance is unaffected by the x value.
B: The base line is the x value from -5 to 2. That is a little trickier. You can say it is |-5| + 2 = 7
Area: The formula for the area is 1/2 B * H
Area = 1/2 7*2 = 7 units^2
Rectangle
L = B: The Length of the rectangle = the base of the triangle (7 units.
W: The y value from 2 to |-2| or 2 + 2 = 4
Area: the formula for the area is A = L*W
Area = L*W
Area = 7 *4 = 28 units^2
Bottom Triangle
B: The base of this triangle = B of the top triangle. The numbers are exactly the same.
H: |-4| - | - 2 |
H: 4 - 2
H: 2
Area: The area = 1/2 * 2 * 7 = 7 square units.
Total Area
Total Area = 7 + 28 + 7 = 42