(4) 64 tiles, (5) [tex]\mathrm{N}=\mathrm{s}^{2}[/tex], (6) [tex]N^{2}=S^{4}[/tex]
Step-by-step explanation:
Given data: Side length of square tile = 1 ft
(4) Side length of square pool = 8 ft
[tex]\text {Number of tiles} =\frac{\text { Area of square pool }}{\text { area of square tile }}[/tex]
[tex]=\frac{8 \times 8}{1 \times 1}[/tex]
= 64
Hence 64 tiles needed for the border.
(5) Suppose number of square tiles be N and side of square tub is s ft.
So, N = [tex]\frac{s \times s}{1 \times 1}[/tex]
[tex]\Rightarrow N=s^{2}[/tex]
So, the expression is [tex]\mathrm{N}=\mathrm{s}^{2}[/tex].
(6) The equivalent expression is [tex]\mathrm{N}^{2}=\mathrm{S}^{4}[/tex].
