question_answer

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.

Answer:

Here, a volleyball court and a swimming pool both are in rectangular shape and their dimensions are directly proportional. Let I and b are length and breadth, respectively.

If           I = b

\[\Rightarrow \]   \[\frac{{{l}_{1}}}{{{b}_{1}}}=\frac{{{l}_{2}}}{{{b}_{2}}}\]

Here,\[{{l}_{1}}=18m,\,{{b}_{1}}=9m,\,{{l}_{2}}=75m,{{b}_{2}}=?\]

Then,                  \[\frac{18}{9}=\frac{75}{{{b}_{2}}}\]

\[2{{b}_{2}}=75\]

\[{{b}_{2}}=\frac{75}{2}\]

\[{{b}_{2}}=37.5m\]

So, the width of the pool is 37.5 m.