Answer:
Dimensions of box
Length is 12 feet
Width is 3 feet
Step-by-step explanation:
Let's assume length of sandbox is L
width of box is W
we are given
A rectangular sandbox has a width that's 1⁄4 of its length
so, we can write as
[tex]W=\frac{1}{4}L[/tex]
we know that
area = length*width
so, we get
[tex]A=L\times W[/tex]
now, we can plug back W
[tex]A=L\times \frac{1}{4}L[/tex]
we can set Area=36
[tex]36=L\times \frac{1}{4}L[/tex]
now, we can solve for L
[tex]L^2=144[/tex]
[tex]L=12[/tex]
now, we can find W
[tex]W=\frac{1}{4}\times 12[/tex]
[tex]W=3[/tex]
So, dimensions of box
Length is 12 feet
Width is 3 feet
