The rectangle has a perimeter of 24 cm and an area of 11. Find the larger side of the rectangle.

Solve system:
{2 (a + b) = 24;
{ab = 11. Substitution method: a + b = 12; b = 12-a; a (12-a) = 11; 12a-a ^ 2 = 11;
a ^ 2-12a + 11 = 0; a = 11;
answer: 11



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