Respuesta :
Answer:
The width of the garden bed must be less than or equal to 4 feet.
[tex]w\leq4[/tex]Explanation:
Given that;
She has 20 feet of boards to make the sides.
The perimeter of the garden bed must not be more than 20 feet
[tex]\begin{gathered} P=2l+2w\leq20 \\ 2l+2w\leq20 \end{gathered}[/tex]Given;
The length is 6 feet;
[tex]l=6[/tex]To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;
[tex]\begin{gathered} 2l+2w\leq20 \\ 2(6)+2w\leq20 \\ 12+2w\leq20 \\ 2w\leq20-12 \\ 2w\leq8 \\ \frac{2w}{2}\leq\frac{8}{2} \\ w\leq4 \end{gathered}[/tex]Therefore, the width of the garden bed must be less than or equal to 4 feet.
[tex]w\leq4[/tex]