Pls. see attachment.
9√2 → 12.73
sin θ = opposite / hypotenuse
sin 45° = opposite / 12.73
0.707 * 12.73 = opposite
9 = opposite
cos θ = adjacent / hypotenuse
cos 45° = adjacent / 12.73
0.707 * 12.73 = adjacent
9 = adjacent
Area of a kite = pq/2
p = 9 + 9 = 18
q = 9 + 6 = 15
Area = (18m*15m) / 2
Area = 270m² / 2
Area = 135 m²
The area of the kite is 135 m².