How Big?

If the sides of the triangle in the diagram are 3, 4 and 5, what is the area of the shaded square?

Do Unto Caesar

At the beginning of the night three poker players; Alan, Bernie and Craig had money in the ratios 7 : 6 : 5. At the end of the night the ratio was 6 : 5 : 4. One of them won $1 200. What were the assets of the players at the beginning of the evening? Oh for the Mathematics of Yesteryear A garrison of 600 men has just enough bread ... but, with the news that the enemy was planning an attack... How many ounces of bread a day must each man in the garrison be allowed, to hold out 45 days against the siege of the enemy? Sweet Fractions Stage: 3 Short Challenge Level: Vicky has 1 share, Ricky has 2 shares, Micky has 6 shares, so there are 9 shares altogether. So Ricky has$\frac{2}{9}\$ of the total.

This problem is taken from the UKMT Mathematical Challenges.