Edexcel P1 2023 June — Question 2

Exam BoardEdexcel
ModuleP1 (Pure Mathematics 1)
Year2023
SessionJune
TopicSimultaneous equations

  1. In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.
A rectangular sports pitch has length \(x\) metres and width \(y\) metres, where \(x > y\) Given that the perimeter of the pitch is 350 m ,
  1. write down an equation linking \(x\) and \(y\) Given also that the area of the pitch is \(7350 \mathrm {~m} ^ { 2 }\)
  2. write down a second equation linking \(x\) and \(y\)
  3. hence find the value of \(x\) and the value of \(y\)