Task 664

Task 664: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Find the number of square units in the area of the shaded region. asy size(200); draw((0,0)--(30,0)--(30,30)--(0, 30)--cycle); dot((30,0));dot((0,0));dot((10,0));dot((30,20));dot((30,30))…

The task

Find the number of square units in the area of the shaded region. [asy] size(200); draw((0,0)--(30,0)--(30,30)--(0, 30)--cycle); dot((30,0));dot((0,0));dot((10,0));dot((30,20));dot((30,30)); dot((20,30));dot((0,30));dot((0,10)); filldraw((0,0)--(10,0)--(30,20)--(30,30)--(20,30)--(0,10)--(0,0)--cycle, lightgray); draw((0,0)--(60,0),EndArrow); draw((0,0)--(-30,0),EndArrow); draw((0,0)--(0,50),EndArrow); draw((0,0)--(0,-30),EndArrow); label("(0,0)",(0,0), SW, fontsize(8)); label("(10,0)",(10,0), S, fontsize(8)); label("(30,0)",(30,0), S, fontsize(8)); label("(30,20)",(30,20), E, fontsize(8)); label("(20,30)",(20,30), N, fontsize(8)); label("(0,30)",(0,30), W, fontsize(8)); label("(30,30)",(30,30), NE, fontsize(8)); label("(0,10)",(0,10), W, fontsize(8)); [/asy]