The King was very happy with carpenters Cheggu and Anar. They had made a very big and beautiful bed for him. So as gifts the king wanted to give some land to Cheggu, and some gold to Anar.

Question

The King was very happy with carpenters Cheggu and Anar. They had made a very big and beautiful bed for him. So as gifts the king wanted to give some land to Cheggu, and some gold to Anar. Cheggu was happy. He took 100 meters of wire and tried to make different rectangles.

He made a 10 m × 40 m rectangle. Its area was 400 square meters. So he next made a 30 m × 20 m rectangle.

What other rectangles can he make with 100 meters of wire? Discuss which of these rectangles will have the biggest area.

Sum

Solution

Following rectangles are possible:

5 m × 45 m = 225 square m

15 m × 35 m = 525 square m

25 m × 25 m = 625 square m

The square will have the biggest area.

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