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# Geometry

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Chris is decorating a rectangular ballroom ceiling with decorative lights. Beginning in a corner, Chris strings the lights along the length of the ceiling, a distance of 55 feet. Next, Chris strings the lights along the width of the ceiling, a distance of 48 feet. Then Chris strings the lights straight back to the original corner. At this point, Chris has used ___ feet of lights.

Feb 22, 2021

#1
+30677
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Chris has strung a right triangle of lights   with legs 48  and 55

the diagonal is fond with Pythag theorem

d  =  sqrt (48^2 + 55^2)  = 73 ft

48 + 55 + 73 = 176 ft total

Feb 22, 2021
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Thank you :)

lel12  Feb 22, 2021
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You're welcome !

ElectricPavlov  Feb 22, 2021
#3
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Chris is decorating a rectangular ballroom ceiling with decorative lights. Beginning in a corner, Chris strings the lights along the length of the ceiling, a distance of 55 feet. Next, Chris strings the lights along the width of the ceiling, a distance of 48 feet. Then Chris strings the lights straight back to the original corner. At this point, Chris has used ___ feet of lights.

Chris has made a right triangle, so the diagonal is sqrt(552 + 482)

diagonal = sqrt(3025 + 2304)  =  73

So Chris has used 55 + 48 + 73 feet of lights  =  176 feet

.

Feb 22, 2021