A circular swimming pool of radius $10$ m is surrounded on all sides by a rectangular deck of uniform width $w$ metres. The total area of the pool together with the deck is $800$ m$^2$. Find the width $w$ of the deck (in metres) and the outer perimeter of the deck (in metres).

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Accepted Answer

w = 10(\sqrt{2} - 1) m; perimeter = 80\sqrt{2} m

Gce Model Questions Vol1 2023 Mathematics Question 45

A circular swimming pool of radius \(10\) m is surrounded on all sides by a rectangular deck of uniform width \(w\) metres. The total area of the pool together with the deck is \(800\) m\(^2\). Find the width \(w\) of the deck (in metres) and the outer perimeter of the deck (in metres).

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Gce Model Questions Vol1 2023 Mathematics Question 45

A circular swimming pool of radius \(10\) m is surrounded on all sides by a rectangular deck of uniform width \(w\) metres. The total area of the pool together with the deck is \(800\) m\(^2\). Find the width \(w\) of the deck (in metres) and the outer perimeter of the deck (in metres).

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About This Question

Master the Exam!

A circular swimming pool of radius \(10\) m is surrounded on all sides by a rectangular deck of uniform width \(w\) metres. The total area of the pool together with the deck is \(800\) m\(^2\). Find the width \(w\) of the deck (in metres) and the outer perimeter of the deck (in metres).