Answer:
outer width of trough = outer height of trough = x = 4ft
outer length of trough = 2x = 8ft
Step-by-step explanation:
Let,
x = outer width of trough = outer height of trough
Now, according to given condition:
2x = outer length of trough
Now we calculate the inner dimensions by subtracting the thickness (1 ft)
Therefore,
x - 2(1ft) = x - 2ft = inner width of trough (because 1ft from both sides will be subtracted)
x - 1ft = inner height of trough (because only bottom thickness will be subtracted)
2x - 2ft = inner length of trough (because 1ft from both sides will be subtracted)
Now, for the holding volume or inside volume of trough will be:
So, we will have three roots from this solution. Two, of them will be complex from the second factor. So, we ignore them and take the third one as our answer:
x - 4 = 0
x = 4ft
Now the outer dimensions will be:
<u>outer width of trough = outer height of trough = x = 4ft</u>
<u>outer length of trough = 2x = 8ft</u>