Question

The local park has a rectangular swimming pool that measures 40 yards in length and 15 yards in width. The community is planning to build a smaller swimming pool that is similar to the current pool. 40 yards 24 yards 15 yards If the length of the new smaller pool will be 24 yards, what will be the width of the smaller pool in yards?

Answer 1

The width of the smaller pool will b 9 yards

Here, we are trying to get the width of the smaller pool in yards

To get this, we need to know the ratios in which the dimensions are

For the length of the bigger pool is 40 yards, the length of te smaller pool is 24 yards

The ratio here is 40/24 = 5:3

So the dimensions of the bigger pool to that of the smaller pool are in the ratio 5 to 3

So mathematically, let us call the width of the smaller pool w;

Then;

`\begin{gathered} (5)/(3)\text{ = }(15)/(x) \\ \\ x\text{ }*\text{ 5 = 15 }*\text{ 3} \\ \\ 5x\text{ = 45} \\ \\ x\text{ = }(45)/(5) \\ \\ x\text{ = 9 yards} \end{gathered}`