Question

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!!

Answer 1

A. 4 inches

Explanation:

Given from the question:

`\implies p=32\\ \implies l = 1\\\implies l=12`

Apply:

`\implies p=2(l+w)`
`.....\text{Equation 1}`

`P=\text{Perimeter of Rectangle}\\L=\text{Length of Rectangle}\\W=\text{Width of Rectangle}`

Make "W" the subject of the equation:

`W=((P)/(2) )......\text{Equation 2}`

Substitute the values given in the question into equation 2:

`W=((32)/(2) )-12\\`

`W=16-12`

`W=4`

Hence, the correct answer would be option A.