Pagans

Elena cut out the same circle-shaped pagans and put them on a rectangular sheet so that the neighboring pagans were touching each other and the pagans were touching the walls of the sheet on the edges. Each pagan occupied 28.26 cm² of the bottom of the sheet. What dimensions does the bottom of the sheet have? (Calculate with π = 3,14.)

Correct answer:

a =  30 cm
b =  18 cm

Step-by-step explanation:

$$\begin{gathered} S=28.26{\text{cm}}^3 \\ r=\lceil \sqrt{S/\pi }\rceil =\lceil \sqrt{28.26/3.1416}\rceil =3\text{cm} \\ D=2\cdot r=2\cdot 3=6\text{cm} \\ 15=5\cdot 3 \\ a=5\cdot D=5\cdot 6=30\text{cm} \end{gathered}$$

$b=3\cdot D=3\cdot 6=18\text{cm}$

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