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(2a)²+b²=(4√10)²
b²=4*13-a²
4a²+b²=160
4a²+52-a²=160
3a²=160-52
3a²=108 /:3
a²=36
a=6
2a=12
b²=52-36=16
b=4
Wymiary prostokata: 12, 4.