The length of rectangular pool is 6 ft and width of rectangular pool is 2 ft.
Step-by-step explanation:
Given,
Area of rectangular pool = 12 square feet
Let,
Width of pool = w
Length of pool = l = 2w+2
Area = Length * Width
[tex]12=(2w+2)*w\\12=2w^2+2w\\2w^2+2w-12=0[/tex]
Dividing each term by 2;
[tex]\frac{2w^2}{2}+\frac{2w}{2}-\frac{12}{2}=0\\w^2+w-6=0\\w^2+3w-2w-6=0\\w(w+3)-2(w+3)=0\\(w+3)(w-2)=0\\[/tex]
Either,
w+3 = 0 => w=-3
Or,
w-2=0 =>w=2
As width cannot be negative, therefore,
Width of rectangular pool = 2 ft
Length of rectangular pool = 2w+2 = 2(2)+2 = 4+2 = 6 ft
The length of rectangular pool is 6 ft and width of rectangular pool is 2 ft.
Keywords: rectangle, area
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