Gce Model Questions Vol1 2022 Mathematics Question 7

Practice essay / theory question 7 from the 2022 Gce Model Questions Vol1 Mathematics examination. This question covers Quadratic Equations .

Gce Model Questions Vol1 2022 Mathematics Essay / Theory
Topic: Quadratic Equations
Question 7 GCE_MODEL_QUESTIONS_VOL1 • 2022 • MATHEMATICS • essay

A farmer wishes to fence a rectangular field such that the length is 5 metres more than twice the width. The total area of the field is 150 square metres.

Question Parts

( a )
Form the quadratic equation that represents the relationship between the length and the width of the field.
( b )
Solve the quadratic equation to find the possible dimensions of the field. State which solution is physically meaningful.
( c )
The farmer is considering increasing the area by k square metres while keeping the same relationship between length and width. (i) Express the new quadratic equation in terms of k. (ii) Determine the range of k for which the field dimensions remain real numbers.
( d )
If the farmer wishes the field to become a square, find the value of k that would make the length equal to the width. Verify that this k lies within the range found in part (c).

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About This Question

This is Gce Model Questions Vol1 2022 Mathematics Question 7. It is one of the essay questions from the 2022 Gce Model Questions Vol1 Mathematics examination.

The question covers Quadratic Equations .

View More Gce Model Questions Vol1 2022 Mathematics Questions More Gce Model Questions Vol1 Practice Questions Back to Questions

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