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Brenna is going to swim the length of her rectangular swimming pool. The width of the pool is $36$ feet, and the diagonal distance from one corner to the opposite corner is $60$ feet. What is the length of the pool? $\newline$ If necessary, round your answer to the nearest tenth. $\newline$ $\newline$ $\_\_\_\_$ feet $\newline$

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Pythagorean theorem

Full solution

Q. Brenna is going to swim the length of her rectangular swimming pool. The width of the pool is

36

feet, and the diagonal distance from one corner to the opposite corner is

60

feet. What is the length of the pool?

\newline

If necessary, round your answer to the nearest tenth.

\newline

\newline

\_\_\_\_

feet

\newline

Identify Relationship: Identify the relationship between the width, $w$ , length, $l$ , and diagonal of the rectangular pool using the Pythagorean Theorem.
Simplify and Solve: Simplify and solve for $l^2$ .
Find Length: Find the length by taking the square root of $l^2$ .

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