Odpowiedź:
P = 112 cm
Szczegółowe wyjaśnienie:
[tex]a = \frac{4}{7}b[/tex]
Obliczam Ob:
Ob = 2a + 2b
[tex]Ob = 2(\frac{4}{7}b) +2b\\ \\Ob = \frac{8}{7}b+2b\\ \\Ob=\frac{22}{7}b \\\\Ob = 44 cm\\\\44 = \frac{22}{7}b\\ \\44\cdot 7 = 22b\\22b = 44\cdot 7\\22b = 308\\\\b=\frac{308}{22}\\ \\b=14[/tex]
[tex]Ob = 2a + 2b\\44 = 2a + 2b\\44 = 2a + 2(14)\\44 = 2a + 28\\2a+28=44\\2a = 44 - 28\\2a = 16\\\\a = \frac{16}{2} \\\\a= 8[/tex]
Obliczam P:
[tex]P=a\cdot b\\P = 8\cdot 14\\P=112[/tex]
