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

1-84.

*f*(*x*) = 0.5*x* – 2 at right. Homework Help ✎

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

*x*-axis is considered negative.)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*]What is the value of

*k*if the area under the cuve for 0 ≤*x*≤*k*is 10? How did you obtain your solution?[Area of triangle

*A*] + [Area of triangle*B*] = 10Simplify, and solve for

*k*.