Solution:
"area\\,of\\,space\\,available, A = 500m^2 \\\\\narea\\,of\\,space\\,take\\, by\\,pen, A_P = \\frac{500}{3}m^2 \\\\\ntherefore, \\\\\n0 \\leq A_p \\leq A \\\\\n\\Rightarrow 0 \\leq \\frac{500}{3} \\leq 500 \\,\\,\\,\\,\\,\\,\\,\\, \\{ the\\, required\\,equation \\}"
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