Rozwiąż zadanie układem równań ! Obwód prostokąta wynosi 64 cm. Stosunek jego boków to 3:5. Oblicz pole tego prostokąta.
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Obwód = 2a+2b
a/b = 3/5 to 5a=3b
2a+2b = 64
5a=3b
2a+2b = 64
a = 3/5b
2*3/5b +2b = 64
6/5b +2b = 64
16/5b = 64
b = 64:16/5
b = 64*5/16
b = 20 cm
a = 3/5 * 20 = 60/5 = 12 cm
sprawdzam
2*12 + 2*20 = 24+40 = 64 cm