Gce Model Questions Vol1 2017 Further Mathematics Question 25

Practice objective / multiple choice question 25 from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2017 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 25 GCE_MODEL_QUESTIONS_VOL1 • 2017 • FURTHER_MATHEMATICS • objective

A rectangular garden is to have an area of \(200\ \text{m}^{2}\). One side of length \(x\) metres lies along a river and requires no fencing. The opposite side of length \(x\) costs £5 per metre to fence, while each of the two sides of length \(y\) metres costs £8 per metre. Find the dimensions \(x\) and \(y\) (in metres) that minimise the total cost of fencing. Give your answer in exact surd form.

Answer Options

A. x=8\sqrt{10},\ y=\frac{5\sqrt{10}}{4}
Correct Answer B. x=8\sqrt{10},\ y=\frac{5\sqrt{10}}{2}
C. x=8\sqrt{5},\ y=\frac{5\sqrt{5}}{2}
D. x=5\sqrt{10},\ y=\frac{8\sqrt{10}}{2}
Correct Answer
B
Correct Option:
x=8\sqrt{10},\ y=\frac{5\sqrt{10}}{2}

About This Question

This is Gce Model Questions Vol1 2017 Further Mathematics Question 25. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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