Quentin L. Meunier

Problem 1002

The kite of Father Dudevue has just disappeared in the clouds. His owner is trying to restore it. He simply remembers that it is a quadrilateral whose diagonals are two secant segments measuring respectively 105 and 116 centimeters.

1A. From this information alone, what would be the largest area of kite in cm²?

After some thinking, Father Dudevue remembers that he also knows the perimeter of his kite: 290 cm.

2A. What is the largest possible area of the kite in cm²?

(round if necessary the answers to the nearest whole number)

iI did not do any program for this problem.

The maximum area, with the only knowledge of the length of the diagonals, is: 6090 cm².
In the case where it is known that the perimeter is 290 cm, the maximum area is 4350 cm².