Odpowiedź:
Zad 1
a)
[tex]P = a * h\\a = 6 cm\\h = 3 cm\\P = 6 cm * 3 cm \\P = 18 cm^{2}[/tex]
b)
[tex]P = \frac{e * f}{2} \\e = 4 cm * 2 \\f = 10 cm + 4 cm\\P = \frac{8 * 14}{2}\\P = \frac{112}{2} \\P = 56 cm^{2}[/tex]
c)
[tex]P = \frac{(a + b) * h}{2} \\a = 5 cm\\b = 5 cm + 1 cm\\h = 4 cm\\P = \frac{(5 + 6) * 4}{2} \\\\P = \frac{11 * 4}{2} \\\\\\P = \frac{44}{2} \\\\\\\\P = 22 cm^{2}[/tex]
Zad 2
a)
[tex]P = \frac{e * f}{2} \\e = 17 cm\\f = 14 cm\\P = \frac{17 * 14}{2}\\P = \frac{238}{2} \\P = 119 cm^{2}[/tex]
b)
[tex]P = a * h\\a = 20,5 cm\\h = 5,6 cm\\P = 20,5 cm * 5,6 cm \\P = 114,8 cm^{2}[/tex]
c)
[tex]P = \frac{(a + b) * h}{2} \\a = 21 cm\\b = 15 cm\\h = 4 cm\\P = \frac{(21 + 15) * 4}{2} \\\\P = \frac{36 * 4}{2} \\\\\\P = \frac{144}{2} \\\\\\\\P = 72 cm^{2}[/tex]
Zad 3
Obwód prostokąta = 2 * 6 + 2 * 4 = 20 cm
Obwód kwadratu = 20 cm
Bok kwadratu = 20 cm / 4 = 5 cm
Pole kwadratu = [tex]a^{2} = 5^{2} = 25[/tex]
Pole prostokąta = [tex]a * b = 6 * 4 = 24[/tex]
25 > 24
Pole kwadratu jest większe od pola prostokąta o 1
Szczegółowe wyjaśnienie:
