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Chad is decorating a rectangular ballroom ceiling with decorative lights. Beginning in a corner, Chad strings the lights along the length of the ceiling, a distance of $55$ feet. Next, Chad strings the lights along the width of the ceiling, a distance of $48$ feet. Then Chad strings the lights straight back to the original corner. At this point, how many feet of lights has Chad used? $\newline$ If necessary, round your answer to the nearest tenth. $\newline$ ____ feet $\newline$

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Pythagorean theorem

Full solution

Q. Chad is decorating a rectangular ballroom ceiling with decorative lights. Beginning in a corner, Chad strings the lights along the length of the ceiling, a distance of

55

feet. Next, Chad strings the lights along the width of the ceiling, a distance of

48

feet. Then Chad strings the lights straight back to the original corner. At this point, how many feet of lights has Chad used?

\newline

If necessary, round your answer to the nearest tenth.

\newline

____ feet

\newline

Calculate Total Distance: Calculate the total distance Chad strings along the length $l$ and the width $w$ before returning to the starting point.
Use Pythagorean Theorem: Use the Pythagorean theorem to find the diagonal distance Chad strings when returning to the original corner.
Add Diagonal Distance: Add the diagonal distance to the total distance calculated in the first step to find the total feet of lights used.

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