The area of the triangle with vertices at $(-4, 1), (1, 2), (4, -3)$ is

The area enclosed within the curve $|x| + |y| = 1$ is

The area (in square units) of the triangle formed by the points with polar coordinates $(1, 0)$,$(2, \frac{\pi}{3})$,and $(3, \frac{2\pi}{3})$ is:

Find the area of a triangle given that midpoints of its sides are $(2, 7)$, $(1, 1)$, and $(10, 8)$.

$A$ triangular corner is cut from a rectangular piece of paper and the resulting pentagon has sides $5, 6, 8, 9, 12$ in some order. The ratio of the area of the pentagon to the area of the rectangle is

The sides of a triangle are $4 \, cm, 5 \, cm$ and $6 \, cm$. The area of the triangle is equal to