The value of x in terms of l is
[tex]x= \sqrt{5l^2}[/tex]
Data given;
Length = l
width = 2l
diagonal = x
assuming we cut a section across the diagonal, we would have a right angle triangle. we can solve the right angle triangle using Pythagoras Theorem.
Pythagoras Theorem
This formula is used to find the missing side of a right angle triangle where x is equal to it's longest side i.e the hypothenuse.
The square of the hypothenuse is equal to the sum of the square of it's two sides.
substituting the values
[tex]x^2 = l^2 + (2l)^2\\x^2 = l2 + 4l^2\\x^2 = 5l^2\\\\x = \sqrt{5l^2}[/tex]
From the calculation above, we have x in terms of l as
[tex]x= \sqrt{5l^2}[/tex]
Learn more on rectangles and Pythagoras theorem here;
https://brainly.com/question/654982
