Waec Model Questions Vol1 2018 Mathematics Question 7

Practice essay / theory question 7 from the 2018 Waec Model Questions Vol1 Mathematics examination. This question covers Quadratic Equations, Maximum Area, Application of Quadratics .

Waec Model Questions Vol1 2018 Mathematics Essay / Theory
Topics: Quadratic Equations Maximum Area Application of Quadratics
Question 7 WAEC_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • essay

A farmer wishes to fence a rectangular field that is bounded on one side by a river, so that the river forms one side of the rectangle and no fence is needed there. The farmer has 120 metres of fencing to use for the other three sides.

Question Parts

( a )
Let x be the length of the side of the rectangle that is parallel to the river (in metres). Express the area A of the field, in square metres, as a quadratic function of x.
( b )
Using the quadratic expression obtained in part (a), determine the dimensions of the rectangle that give the maximum possible area. State the maximum area.
( c )
Form the quadratic equation whose roots represent the possible values of x that would give an area of exactly 1800 m².
( d )
Solve the quadratic equation from part (c) and interpret the meaning of the solution(s) in the context of the problem.

Detailed Solution & Marking Scheme

Get the step-by-step solution, key points required by examiners and detailed marking guidance through the Edcrib AI Tutor.

Reveal Answer

About This Question

This is Waec Model Questions Vol1 2018 Mathematics Question 7. It is one of the essay questions from the 2018 Waec Model Questions Vol1 Mathematics examination.

The question covers Quadratic Equations, Maximum Area, Application of Quadratics .

View More Waec Model Questions Vol1 2018 Mathematics Questions More Waec Model Questions Vol1 Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support