Can you find the width if area and other dimensions are given?

Geometry Level pending

A swimming pool measures 15 metres in length and 10 metres in breadth. There is a cement walk around the pool which has an area of 116 metres. What is the width of the walk in metres?

(HINT:You are going on the right track if you think this needs Algebra and not Geometry)


The answer is 2.

A Former Brilliant Member by A Former Brilliant Member

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2 solutions

Venture Hi
Mar 30, 2014

(15+2x)*(10+2x)-150=116. x=2

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Lets solve the problem together. Area of Pool = 150 sq. metres (10 x 15) Area of Walk = 116 sq. metres (Given) Therefore, Area of bigger rectangle formed = 266 sq. metres (116 + 150)

With this in our mind, we can form the following equation: Let x be the width of the pool. (15+ 2x) * (10 + 2x) = 266

I am saying 2x because the width gets added on both the sides. Everything ahead is just simplification of the Quadratic equation where you get the value of x as either 2 or a negative number. As it can't be negative, it leaves us with 2 metres, which is our answer. Thanks,

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