Answer:
Regular hexagon will give puppy more area to run.
Step-by-step explanation:
We are given the following in the question:
Shapes: rectangle, regular hexagon, square
Rectangle:
Length,l = a
Width, w = 2a
Area of rectangle =
[tex]A = l\times w\\A = a\times 2a=2a^2[/tex]
Regular hexagon:
Side length,s = a
Area of hexagon =
[tex]A =\dfrac{3\sqrt{3}}{2}a^2[/tex]
Square:
Side length, s = a
Area of square =
[tex]A = a^2[/tex]
Comparison:
[tex]a^2<2a^2<\dfrac{3\sqrt{3}}{2}a^2[/tex]
Thus, regular hexagon will give puppy more area to run.
