Answer:
Length of rectangle = 64 inches
Width of rectangle = 32 inches
Step-by-step explanation:
Perimeter of rectangle = 192 in
Length = x
Width = [tex]\frac{1}{2}x[/tex]
We need to find the length and width.
The formula used is: [tex]Perimeter\:of\:rectangle=2(Length+Width)[/tex]
Putting values and finding value of x
[tex]Perimeter\:of\:rectangle=2(Length+Width)\\192=2(x+\frac{x}{2} )\\192=2(\frac{2x+x}{2} )\\192=2(\frac{3x}{2} )\\192=3x\\x=\frac{192}{3}\\x=64[/tex]
So, we get x = 64
The length of rectangle x = 64
The width of rectangle = [tex]\frac{1}{2}x[/tex] = [tex]\frac{64}{2} = 32[/tex]
So, Length of rectangle = 64 inches
Width of rectangle = 32 inches
