Answer:
Pool area=Inner rectangle=[tex]2x^{2}[/tex]
Area of walkway=[tex]12x+16[/tex]
Step-by-step explanation:
Let the width of the rectangular swimming pool be x
so, length will be 2x
Area of walkway = area of outer rectangle - area of inner rectangle
Area of outer rectangle=[tex](x+4)*(2x+4)=2x^{2}+12x+16[/tex]
Area of inner rectangle=[tex]x*2x=2x^{2}[/tex]
Area of walkway=[tex]2x^{2}+12x+16-2x^{2}=12x+16[/tex]
