The perimeter of a rectangular lawn is 24m. If the area of the lawn is \(35m^2\); how wide is the lawn?

  • A 5m
  • B 7m
  • C 12m
  • D 14m

The correct answer is A. 5m

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Perimeter of the lawn: \(24 \, \text{m}\). Hence \(L + B = 12 \, \text{m}\).

\(LB = 35 \, \text{sq m}\), or

\(B(12 - B) = 35\)

\(B^2 - 12B + 35 = 0\)

\((B - 7)(B - 5) = 0\)

So \(B = 7 \, \text{m}\) or \(5 \, \text{m}\), and the corresponding \(L = 5 \, \text{m}\) or \(7 \, \text{m}\).

Since \(L > B\), the width of the lawn is \(5 \, \text{m}\).

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