The width of deck= x = 7 feet when perimeter is 48 feet and length is 17 feet
Step-by-step explanation:
Let width of rectangle = x
Let length of rectangle =3+2x
Perimeter of Rectangle = 48 feet
Width of rectangle = ?
The formula of perimeter is:
[tex]perimeter= 2(L+W)[/tex]
Putting values of perimeter, length and width
[tex]perimeter=2(L+W)\\48=2(3+2x+x)\\48=2(3+3x)\\48=6+6x\\6x=48-6\\6x=42\\x=\frac{42}{6}\\x=7[/tex]
So, the width of deck= x = 7
The length will be= 3+2x = 3+2(7) = 3+14 = 17
Keywords: perimeter of the rectangle
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