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.

lel12 Feb 22, 2021

#1**+2 **

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

ElectricPavlov Feb 22, 2021

#3**+2 **

*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(55^{2} + 48^{2})

diagonal = sqrt(3025 + 2304) = 73

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

_{.}

Guest Feb 22, 2021