Answer:
Length of rectangle = 64 inches
Width of rectangle = 32 inches
Explanation:
Perimeter of rectangle = 192 in
Length = x
Width =
![(1)/(2)x](https://img.qammunity.org/2022/formulas/mathematics/college/qnheml1cl2gfcee03s3igjavzgw44f6lyn.png)
We need to find the length and width.
The formula used is:
![Perimeter\:of\:rectangle=2(Length+Width)](https://img.qammunity.org/2022/formulas/mathematics/high-school/8as8bzzwuahdktpgog041783sgfcyuqdx5.png)
Putting values and finding value of x
![Perimeter\:of\:rectangle=2(Length+Width)\\192=2(x+(x)/(2) )\\192=2((2x+x)/(2) )\\192=2((3x)/(2) )\\192=3x\\x=(192)/(3)\\x=64](https://img.qammunity.org/2022/formulas/mathematics/high-school/gn1p98qmrj797ivyxaggtsyln1434o3p4t.png)
So, we get x = 64
The length of rectangle x = 64
The width of rectangle =
=
![(64)/(2) = 32](https://img.qammunity.org/2022/formulas/mathematics/high-school/c6bn4sckgcacb5qpoagyhg8k3xo901vkur.png)
So, Length of rectangle = 64 inches
Width of rectangle = 32 inches