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A volleyball court is in a rectangular shape and its dimensions are directly proportional to the dimensions of the swimming pool given below. Find the width of the pool.

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Question

A volleyball court is in a rectangular shape and its dimensions are directly proportional to the dimensions of the swimming pool given below. Find the width of the pool.

Sum
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Solution

From the given figures,

Length of volleyball court = 18 m

Breadth of volleyball court = 9 m

Length of pool = 75 m

Let the width of swimming pool = x m

According to the question, the size of volleyball court and swimming pool are in direct proportion to each other.

∴ `9/18 = x/75`

⇒ `x = (75 xx 9)/18`  ...[By cross-multiplication]

= `75/2`

= 37.5 m  

Hence, the width of the swimming pool is 37.5 m

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Chapter 10: Direct and Inverse Proportions - Exercise [Page 327]

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NCERT Exemplar Mathematics Exemplar [English] Class 8
Chapter 10 Direct and Inverse Proportions
Exercise | Q 96. | Page 327

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