### Home > CALC > Chapter 1 > Lesson 1.2.5 > Problem 1-84

1-84.

Examine the graph of the function

*f*(*x*) = 0.5*x*− 2 below. Homework Help ✎

Find the area of the shaded region using geometry. (Recall that the area below the

*x*-axis is considered negative.)Find

*k*if*A*(*f*, 0 ≤*x*≤*k*) = l0. How did you find your solution?

Find the area of each triangle separately. Recall that the area belowthe x-axis is negative. Add the negative and the positive regions together.

[Area of triangle *A*] + [Area of triangle *B*]

[Area of triangle *A*] + [Area of triangle *B*] = 10

Simplify, and solve for *k*.