Answer:
8 Meters
Step-by-step explanation:
Even though you're looking for the length for a rectangular garden, you are actually using the Pythagorean Theorem for this since the question provides you a width and a diagonal for the rectangle.
To find the length you must use the formula: [tex]A^{2}+B^{2}=C^{2}[/tex].
You are already provided with the width, A, and the diagonal, C. So, you must find the second leg (or length) by using:
[tex]C^{2}-A^{2}=B^{2}[/tex]
[tex]10^{2}-6^{2}=B^{2}[/tex]
[tex]100-36=B^{2}[/tex]
[tex]64=B^{2}[/tex]
[tex]\sqrt{64}=B[/tex]
[tex]8=B[/tex]
So, B=8, meaning you found the length of 8 meters.
Don't forget to use the units!
Hope this helps!
