bonjour
aire 1 = x ( x + 5 ) = x² + 5 x
aire 2 = ( x + 11 ) ( x + 6 ) = x² + 6 x + 11 x + 66 = x² + 17 x + 66
x² + 17 x +66 = x² + 5 x + 100
x² - x² + 17 x - 5 x = 100 - 66
12 x = 34
x = 34/12 = 17/6
petit rectangle
largeur = 17/6
longueur = 17/6 + 5 = 17/6 + 30/6 = 47/6
aire = 17/6 x 47/6 = 799/36
grand rectangle
longueur = 17/6 + 11 = 17/6 + 66 /6 = 83/6
largeur = 17/6 + 6 = 17/6 + 36/6 = 53/6
aire = 83/6 x 53/6 = 4 399/36
799/36 + 100 = 7 99/36 + 3600 /36 = 4 399 /36
bonne journée
