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A sheet of paper is exactly the same size as a rectangular table top. The paper is cut in half and the two halves are placed on the table as shown.
What is the ratio of the area of table left uncovered (white) to the area that is covered twice?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?
If the sides of the triangle in the diagram are 3, 4 and 5, what is the area of the shaded square?