Question:A lawn is in the form of a rectangle having its sides in the ratio 2 : 3. The area of the lawn is `1/6` hectares. Find the length and breadth of the lawn.
Answer Let, length = 2x metres and breadth = 3x metres. Now, area` = (1/6 xx 10000) m^2` `= (5000/3) m^2` `:. 2x xx 3x = (5000)/3 or x^2 = 2500/9 or x = (50/3) m.` :. Length` = 2x = (100)/(3) m` `= 33 1/3 m & Breadth = 3x = (3 xx 50/3)` m `= 50 m.`
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A lawn is in the form of a rectangle having its sides in the ratio 2 : 3. The area of the lawn is `1/6` hectares. Find the length and breadth of the lawn.