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the diagonal of a rectangular swimming pool measures 19 yd if the length of the pool is 15 yd which measurement is closest to the width of the pool?

the diagonal of a rectangular swimming pool measures 19 yd if the length of the pool-example-1

1 Answer

1 vote

Answer:

11.67 yards

Step-by-step explanation:

From the above figure, we can use the Pythagorean theorem to find the width of the pool as shown below;


\begin{gathered} 19^2=15^2+w^2 \\ 361=225+w^2 \\ 361-225=w^2 \\ 136=w^2 \\ \sqrt[]{136}=w \\ \therefore w=11.67\text{ yards} \end{gathered}

the diagonal of a rectangular swimming pool measures 19 yd if the length of the pool-example-1
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