Igcse Model Questions Vol1 2024 Mathematics Question 9

Practice objective / multiple choice question 9 from the 2024 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2024 Mathematics Objective / Multiple Choice Medium Difficulty
Question 9 IGCSE_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • objective

A garden consists of a rectangle of length \(20\) m and width \(w\) m, together with a semicircular lawn attached to one of the rectangle's shorter sides. The diameter of the semicircle equals the width \(w\). The total perimeter of the garden (including the curved edge of the semicircle but not the side of the rectangle that is shared with the semicircle) is \(70\) m. (i) Determine the width \(w\) (to two decimal places). (ii) Find the total area of the garden (to one decimal place) in square metres.

Answer Options

A. w = 9.80 m; total area = 225.0 m²
B. w = 12.89 m; total area = 312.5 m²
C. w = 10.45 m; total area = 260.3 m²
Correct Answer D. w = 11.67 m; total area = 286.9 m²
Correct Answer
D
Correct Option:
w = 11.67 m; total area = 286.9 m²

About This Question

This is Igcse Model Questions Vol1 2024 Mathematics Question 9. It is one of the objective questions from the 2024 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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