Answer:
[tex]2.4\text{ feet}[/tex]
Step-by-step explanation:
A rectangle's perimeter is given by the formula:
[tex]P=2(l+w)[/tex]
A rectangle's area is given by the formula:
[tex]A=lw[/tex]
We are given that they have the same numerical value. In other words:
[tex]2(l+w)=lw[/tex]
And we are also given that the length is 12 feet. So, substitute 12 for l:
[tex]2(12+w)=12w[/tex]
To solve for the width, we just need to solve for w.
On the left, distribute:
[tex]24+2w=12w[/tex]
Subtract 2w from both sides. The left side cancels:
[tex]24=10w[/tex]
Divide both sides by 10. Flip also:
[tex]w=\frac{24}{10}[/tex]
Reduce both layers. Use 2. So:
[tex]w=12/5=2.4[/tex]
So, the width is 2.4 feet.
And we're done!
