### Home > CALC > Chapter 1 > Lesson 1.2.5 > Problem1-84

1-84.

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]

$\frac{1}{2}(4)(f(0))+\frac{1}{2}(7-4)(f(7))$

$\frac{1}{2}(4)(-2)+\frac{1}{2}(3)(1.5)=$

$-1\frac{3}{4}$

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

Simplify, and solve for k.