Question
The ratio of the length to breadth of a rectangular playground is 7:5. If the cost of fencing the playground at the rate of Rs. 4 per metre is Rs. 1920, then find the area of the playground.
Solution
ATQ,
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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