Advantageous 81389

The room has dimensions of 11 m x 5 m. Lino will be purchased for the room, which is sold in a roll with a width of 2 meters. How many meters of rope will be needed, and how much will be left? Consider both options for laying the line (lengthwise and widthwise) and evaluate which will be more advantageous.

Correct answer:

x₁ =  30 m
x₂ =  33 m

Step-by-step explanation:

$$\begin{gathered} a=11\text{m} \\ b=5\text{m} \\ s=2\text{m} \\ {n}_1=\lceil a/s\rceil =\lceil 11/2\rceil =6 \\ {x}_1=n_1\cdot b=6\cdot 5=30\text{m} \end{gathered}$$

$$\begin{gathered} n_2=\lceil b/s\rceil =\lceil 5/2\rceil =3 \\ {x}_2=n_2\cdot a=3\cdot 11=33=33\text{m} \\ {x}_1<x_2 \end{gathered}$$

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