Oblicz pole prostokąta, którego jeden bok jest 3 razy dłuższy od drugiego, a obwód wynosi 72dm.
Dane :
bok : a = x
bok : b = 3x
Obw = 72 dm
obw = 2a + 2b
72 = 2x + 2*3x
72 = 2x+6x
8x = 72 I:8
x = 9 dm
bok : a = x = 9 dm
bok : b = 3x = 3*9 = 27 dm
P= a*b
P = 9 * 27 = 243 dm^2
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Dane :
bok : a = x
bok : b = 3x
Obw = 72 dm
obw = 2a + 2b
72 = 2x + 2*3x
72 = 2x+6x
8x = 72 I:8
x = 9 dm
bok : a = x = 9 dm
bok : b = 3x = 3*9 = 27 dm
P= a*b
P = 9 * 27 = 243 dm^2