Igcse Model Questions Vol1 2018 Mathematics Question 31

Practice objective / multiple choice question 31 from the 2018 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2018 Mathematics Objective / Multiple Choice Medium Difficulty
Question 31 IGCSE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • objective

A garden consists of a rectangular plot of length \(L\) metres and width \(W\) metres, with a semicircular flower bed attached to one of the longer sides. The diameter of the semicircle equals the width \(W\). The total perimeter of the garden (including the curved edge of the semicircle) is \(50\) m. If the area of the rectangular part is twice the area of the semicircular part, determine the width \(W\) (to 2 decimal places) and the total area of the garden (to the nearest square metre).

Answer Options

A. Width \\(W = 13.20\\) m, total area \\(= 190\\) m\\(^2\\)
Correct Answer B. Width \(W = 12.07\) m, total area \(= 172\) m\(^2\)
C. Width \\(W = 10.80\\) m, total area \\(= 145\\) m\\(^2\\)
D. Width \\(W = 11.50\\) m, total area \\(= 160\\) m\\(^2\\)
Correct Answer
B
Correct Option:
Width \(W = 12.07\) m, total area \(= 172\) m\(^2\)

About This Question

This is Igcse Model Questions Vol1 2018 Mathematics Question 31. It is one of the objective questions from the 2018 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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