Answer:
Dimensions:
Length = 13.256m
width = 9.256m
Step-by-step explanation:
Let the length of the sandbox be = l and its width be = w
The length of the sandbox is 4 ft more than the width.
This means that [tex]l = 4 + w[/tex] ----- equation 1
For the next step, we will be assuming that the strip of grass is a perfect rectangle. The length of the grass strip will be equals to the length of the sandbox.
Area of the grass = length X width = [tex](4 +w) \times 5= 5(4+w)[/tex]------ equation 2
The total area for the sandbox and the grass is 189 square feet.
This means that
[tex](w \times (4+w)) + 5(4+w)=189\\w^2+4w+20+5w=189\\w^2+9w-169=0\\w=9.256m[/tex]
(Kindly note that the positive value for the width was chosen as length cannot be negative).
Now that we have our width, we can put this into equation 1 to get the length.
[tex]l=9.256+4=13.256m[/tex]
