Question
The length of a 744 metre long wire is 12 times the
perimeter of a rectangular French garden. Find the area of the rectangular garden given that its length is 7 metres more than its breadth.Solution
ATQ, Let the length and breadth of the garden be ‘L’ metres and ‘B’ metres, respectively. Perimeter of the garden = (744/12) = 62 metres So, 2 × (L + B) = 62 Or, (L + B) = 31 ATQ; L = B + 7 So, B + 7 + B = 31 Or, 2B = 24 So, B = 12 So, breadth of the garden = 12 metres And, length of the garden = 12 + 7 = 19 metres So, area of the garden = 19 × 12 = 228 m²
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