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Let the length and breadth of the playground be 7x metres and 5x metres respectively.
According to the question,
2(7x + 5x) = 1920 / 4
⇒ 2(12x) = 480
⇒ 24x = 480
⇒ x = 20 metres
Therefore, area of the playground = 7x × 5x = 35x² = 35 × 400 = 14000 m²
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