Answer:
Equation:
[tex]2(x+(x+1))=18[/tex]
Width = 4 feet
Length = 5 feet
Step-by-step explanation:
Let x feet be the width of the rectangle.
If the length of the sandbox is one foot longer than the width, then the length is x + 1 feet.
Use formula
[tex]\text{Perimeter}=2(\text{Width}+\text{Length})[/tex]
The perimeter of a childs rectangular sandbox is 18 feet, thus
[tex]18=2(x+(x+1))\\ \\18=2(x+x+1)\\ \\18=2(2x+1)\\ \\9=2x+1\ [\text{Divided by 2}]\\ \\2x+1-1=9-1\\ \\2x=8\\ \\x=4\ feet \\ \\x+1=5 \ feet[/tex]
