Răspuns:
Explicație pas cu pas:
A, B, C, D = laturile celor 4 patrate
A^2/25 = B^2/36 = C^2/64 = D^2/100
A/5 = B/6 = C/8 = D/10
4A + 4B + 4C + 4D = 580
A + B + C + D = 580 : 4 = 145
A = 5B/6
C = 8B/6
D = 10B/6
5B/6 + B + 8B/6 + 10B/6 = 145
5B/6 + 6B/6 + 8B/6 + 10B/6 = 145
29B/6 = 145
B = 6*145/29 = 30 m
A = 5*30/6 = 25 m
C = 8*30/6 = 40 m
D = 10*30/6 = 50 m
Ariile sunt:
A^2 = 625 m^2; B^2 = 900 m^2; C^2 = 1600 m^2; D^2 = 2500 m^2
