Answer:
23.3
(or [tex]4\sqrt{34}[/tex] (let me know if you wanted this one and is you want it explained) lol)
Step-by-step explanation:
To find the length of the fence, use the Pythagorean theorem because, if you cut a rectangle diagonally, you will create two right triangles, and this formula only works with right triangles:
[tex]a^{2} +b^{2} =c^{2}[/tex]
Insert values:
[tex]12^{2} +20^{2} =c^{2}[/tex]
Solve for c:
Evaluate exponents
[tex]144+400=c^2[/tex]
Simplify addition
[tex]544=c^2[/tex]
Find the square root of both
[tex]\sqrt{544} =\sqrt{c^2}\\\\\sqrt{544} =c\\\\23.324=c\\\\c=23.3[/tex]
The fence needs to be approximately 23.3 m.
