Task 666
Task 666: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. An isosceles right triangle is removed from each corner of a square piece of paper, as shown, to create a rectangle. If $AB = 12$ units, what is the combined area of the four removed triangles, in…
The task
An isosceles right triangle is removed from each corner of a square piece of paper, as shown, to create a rectangle. If $AB = 12$ units, what is the combined area of the four removed triangles, in square units? [asy] unitsize(5mm); defaultpen(linewidth(.7pt)+fontsize(8pt)); pair A=(1,4), Ap=(0,3), B=(3,0), Bp=(4,1); draw((0,0)--(0,4)--(4,4)--(4,0)--cycle); draw(A--Ap--B--Bp--cycle,linetype("4 3")); label("$A$",A,N); label("$B$",B,S); [/asy]