AHSME 1969 Problem 22

Let $K$ be the measure of the area bounded by the $x$-axis, the line $x=8$, and the curve defined by $$f={(x,y) | y=x \text{ when } 0 \le x \le 5, y=2x-5 \text{ when } 5 \le x \le 8}.$$ Then $K$ is: $\text{(A) } 21.5 \text{(B) } 36.4 \text{(C) } 36.5 \text{(D) } 44 \text{(E) less than 44 but arbitrarily close to it}$