The perimeter of a rectangular lawn is 24m. If the area of the lawn is \(35m^2\); how wide is the lawn?
The correct answer is A. 5m
Certainly! Here's your provided text formatted in Mathjax:
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 \(5 \, \text{m}\).
Previous question Next questionWhat is Exam without Practice? With our customizable CBT practice tests, you’ll be well-prepared and ready to excel in your examsStart Practicing Now