Math problem solving investigation: guess and chec
posted by Alex on .
The area of each square is twice the area of the next smaller square drawn in it. If the area of the smallest square is 3 square centimeters, what is the area of the largest square

no idea how many squares you have, but start counting. If there are n squares larger than the smallest, then the area of the largest is 3*2^n. The areas are:
3,6,12,24,48,96,...
If you want to ask questions about diagrams, you gotta describe what's going on here. 
The floor of a dining hall was covered with 150 tiles of 1 square unit.
What is the perimeter and area of the hall, if the shape of the floor is a square?