Find the side of the rectangle if the perimeter is 144cm, and one side is 11 times smaller than the second side.

Let x cm – one side, then

11x cm – second side.

By the formula for the perimeter of a rectangle:

P = 2 * (a + b);

Let’s compose and solve the equation:

144 = 2 * (x + 11x);

x + 11x = 72;

12x = 72;

x = 72/12 = 6 (cm) – one side;

11 * 6 = 66 (cm) – the second side.

Answer: One side is 6 cm, the other is 66 cm.



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