Answer
The statement does not make sense.
Work Step by Step
When floor tiles are placed, it forms a kind of tessellations. A tessellation is a type of art that is used to define a relationship between geometry and the visual arts. Tessellations are created by repeated use of same figures that will leave no gap and no overlaps and thus cover the whole plane.
To create a tessellation, the primary requirement is that the sum of the measures of the angles of a regular polygon that are together at each vertex must be\[360{}^\circ \].
To determine whether a tessellation can be created or not, use the formula\[\left( n-2 \right)\times 180{}^\circ \]which computes the sum of the measures of the angle of a regular pentagon and then divide it by the sides of a pentagon to find the measure of each angle.
Compute a measure of each angle:
\[\begin{align}
& \text{Measurement of angle}=\frac{\left( n-2 \right)x180{}^\circ }{n} \\
& =\frac{\left( 5-2 \right)\times 180{}^\circ }{5} \\
& =\frac{540{}^\circ }{5} \\
& =108{}^\circ
\end{align}\]
The measure of each angle of a regular pentagon is\[108{}^\circ \]. When three regular pentagons are used to cover the kitchen floor \[3\times 108{}^\circ =324{}^\circ \], it leaves the gap \[360{}^\circ -324{}^\circ =36{}^\circ \] which does not fulfill the requirement of forming a tessellation by regular pentagons.Hence, the given statement does not make sense.
