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szerokość x -4
obwód 2x + 2(x - 4) = 16
2x + 2x - 8 = 16
4x = 24
x = 6
a = 6 cm
b = 2 cm
obliczam pole P = a * b = 6 * 2 = 12cm kw.
O = 16 cm
x - bok dłuższy
x-4cm - bok krótszy
Szukane :
P = ?
Rozwiązanie :
4x - 8 cm = 16 cm| +8
4x = 24 cm | :4
x = 6 cm
x = 6 cm - 1 bok
x = 6 cm - 2 bok
x- 4 = 2 cm - 3 bok
x- 4 = 2 cm - 4 bok
P prostokąta = a ( razy ) b
P = 6 cm ( razy ) 2 cm = 12 cm2
dłuższy bok- x
krótszy bok- x-4
16 = 2x + 2(x-4)
16 = 2x + 2x - 8
- 4x = - 8 - 16
- 4x = - 24 / (- 4)
x = 6
x - 4 = 6 - 4 = 2
P = a*b
P = 6*2
P = 12 cm²