illama
contestada

The perimeter of a rectangle is 32 inches. The length is 1 foot, what is the width of the rectangle in inches?

A. 4 inches
B. 10 inches
C. 15 inches
D. 20 inches



Explanation needed!!

Respuesta :

Answer:

A. 4 inches

Step-by-step explanation:

Given from the question:

[tex]\implies p=32\\ \implies l = 1\\\implies l=12[/tex]

Apply:

[tex]\implies p=2(l+w)[/tex]  [tex].....\text{Equation 1}[/tex]

[tex]P=\text{Perimeter of Rectangle}\\L=\text{Length of Rectangle}\\W=\text{Width of Rectangle}[/tex]

Make "W" the subject of the equation:

[tex]W=(\frac{P}{2} )......\text{Equation 2}[/tex]

Substitute the values given in the question into equation 2:

[tex]W=(\frac{32}{2} )-12\\[/tex]

[tex]W=16-12[/tex]

[tex]W=4[/tex]

Hence, the correct answer would be option A.