Gce Model Questions Vol1 2022 Further Mathematics Question 34

Practice objective / multiple choice question 34 from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2022 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 34 GCE_MODEL_QUESTIONS_VOL1 • 2022 • FURTHER_MATHEMATICS • objective

A rectangular garden is to be fenced on three sides, the side along a river requiring no fence. The garden must have an area of \(180\) m\(^2\). The cost of fencing parallel to the river is \(\$12\) per metre, while each of the two perpendicular sides costs \(\$8\) per metre. Determine the dimensions that minimise the total cost and state the minimum cost.

Answer Options

Correct Answer A. width = 3√15 m, length = 4√15 m; minimum cost = 96√15 dollars
B. width = 5√15 m, length = 2√15 m; minimum cost = 96√15 dollars
C. width = 3√15 m, length = 4√15 m; minimum cost = 100√15 dollars
D. width = 4√15 m, length = 3√15 m; minimum cost = 96√15 dollars
Correct Answer
A
Correct Option:
width = 3√15 m, length = 4√15 m; minimum cost = 96√15 dollars

About This Question

This is Gce Model Questions Vol1 2022 Further Mathematics Question 34. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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