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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
avatar+30677 
+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

 Feb 22, 2021
 #2
avatar+40 
+1

Thank you :)

lel12  Feb 22, 2021
 #4
avatar+30677 
+1

You're welcome !  cheeky

ElectricPavlov  Feb 22, 2021
 #3
avatar
+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(552 + 482)  

 

                                                             diagonal = sqrt(3025 + 2304)  =  73   

 

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

.

 Feb 22, 2021

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