Carpet

The room is 10 x 5 meters. You have the role of carpet width of 1 meter. Make a rectangular cut of a roll. That piece of carpet will be the longest possible and will fit into the room. How long is a piece of carpet? Note: The carpet will not be parallel with the diagonal.

Correct answer:

x =  10.18034 m

Step-by-step explanation:

a+b=10 c+d=5 x2=b2+c2 12=a2+d2  y=x2=(10a)2+(51a2)2 y=x2=101a220a+126  y=(1a2)10a20 y=0 a=52=0.89442719099992 m x=y=10(1a2)20a+126 x=10.18034 m



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