Zadanie 1

1. Metoda analityczna

$$2P = \sum_{i = 1}^{n}{x_{i}\left( y_{i + 1} - y_{i - 1} \right)}$$

2P = 76.30 • (−0.80+65.50) + 34.20 • (81.80+92.20) + 54.60 • (64.20+0.80) − 20.50 • (60.90−81.80) − 110.10 • (−65.50−64.20) − 59.70 • ( − 92.20 − 60.90)

2P = 4936.61 + 5950.8 + 3549 + 428.45 + 14279.97 + 9140.07

2P = 38284.9/:2

P = 19142.45 m²

$$- 2P = \sum_{i = 1}^{n}{y_{i}\left( x_{i + 1} - x_{i - 1} \right)}$$

−2P = −92.20 • (34.20+59.70) − 0.80 • (54.60−76.30) + 81.80 • (−20.50−34.20) + 64.20 • (−110.10−54.60) + 60.90 • (−59.70+20.50) − 65.50 • (76.30 + 110.10)

−2P = −8657.58 + 17.36 − 4474.46 − 10573.74 − 2387.28 − 12209.2

−2P = −38284.9/:(−2)

P = 19142.45 m²