Answer:
[tex]x = 11ft[/tex]
Explanation:
Given
[tex]Area = 1815ft^2[/tex]
[tex]Length = 5x[/tex]
[tex]Width = 3x[/tex]
Required
What is x?
Since the stage is rectangular in shape;
We have:
[tex]Length * Width = Area[/tex]
[tex]5x * 3x = 1815[/tex]
[tex]15x^2= 1815[/tex]
Divide through by 15
[tex]x^2 = 1815/15[/tex]
[tex]x^2 = 121[/tex]
Take square roots
[tex]x = \sqrt{121}[/tex]
[tex]x = 11[/tex]
