Answer:
[tex]24=2(2)+2w[/tex]
[tex]w=10[/tex]
Step-by-step explanation:
We have been given that the perimeter of a rectangle is 24 inches. The length is 2 inches. We are supposed to write an equation to solve for the width.
We know that the perimeter of the rectangle is 2 times the sum of its width and length.
[tex]P=2l+2w[/tex]
Upon substituting our given values in perimeter equation, we will get:
[tex]24=2(2)+2w[/tex]
Let us solve for width.
[tex]24=4+2w[/tex]
[tex]24-4=4-4+2w[/tex]
[tex]20=2w[/tex]
[tex]\frac{20}{2}=\frac{2w}{2}[/tex]
[tex]10=w[/tex]
Therefore, the width of the rectangle would be 10 inches.
