Question
A rectangular garden is bordered by a walkway of uniform
width 5 metres. If the total area of the walkway is 1350 m², find the perimeter of the actual garden.Solution
ATQ,
Let length and breadth of the garden be ‘L’ metres and ‘B’ metres, respectively. ATQ, {(L + 10) × (B + 10)} – (L × B) = 1350 Or, LB + 10L + 10B + 100 – LB = 1350 Or, (L + B) = (1350 – 100)/10 = 125 Therefore, perimeter of the garden = 2 × (L + B) = 2 × 125 = 250 metres
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