   SEARCH HOME Math Central Quandaries & Queries  Question from Marina, a parent: I really want to know the answer to this problem for my 6th grade son. I've already sent this question with the drawing but I couldn't send it correctly. I hope this one will pass through. Q: Divide evenly and identical the figure representing a lot,into four for the 4 siblings. I've sent a figure drawing as attachment. I will describe this incase it will not reach you: its a square divide into 4 triangle and 1 triangle is taken out living a letter M figure and this letter M figure is the one that will be divided.into 4 even and identical parts. Thank you. I hope I have describe the figure well. Marina Marina,

I get four equal lots each consisting of two triangles connected by a vertex: Draw a horizontal line through the center of the square, and also a vertical line through the middle of the square. Both lines go through the middle vertex of the M. So now the figure is separated into a top left triangle, a top right triangle,
a bottom left square and a bottom right square. Separate each bottom square into four little triangles just like the original square was divided. Now you get

Lot A: The top left triangle and the little west triangle of the bottom left square.

Lot B: The little triangles north and east of the bottom left square and the little north triangle of the bottom right square.

Lot C: The little triangles west and south of the bottom right square and the little triangle south of the bottom left square.

Lot D: The top right triangle and the little east triangle of the bottom right square. Claude     Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.