Gce Model Questions Vol1 2020 Further Mathematics Question 9

Practice objective / multiple choice question 9 from the 2020 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2020 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 9 GCE_MODEL_QUESTIONS_VOL1 • 2020 • FURTHER_MATHEMATICS • objective

A rectangular garden is to be fenced on three sides; the side parallel to a river needs no fence. The garden must have an area of \(180\ \text{m}^{2}\). The cost per metre of fence along the side parallel to the river is three times the cost per metre of fence along each of the other two sides, and a fixed gate costing £50 is to be installed on one of the width sides. Determine the dimensions (length parallel to the river and width) that minimise the total cost.

Answer Options

A. length = 3\sqrt{30} m, width = 2\sqrt{30} m
Correct Answer B. length = 2\sqrt{30} m, width = 3\sqrt{30} m
C. length = \sqrt{120} m, width = \sqrt{90} m
D. length = 4\sqrt{15} m, width = 3\sqrt{15} m
Correct Answer
B
Correct Option:
length = 2\sqrt{30} m, width = 3\sqrt{30} m

About This Question

This is Gce Model Questions Vol1 2020 Further Mathematics Question 9. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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