For this case we have that by definition, the Pythagorean theorem states that:
[tex]c ^ 2 = a ^ 2 + b ^ 2[/tex]
According to the rectangle data we have to:
[tex]65 ^ 2 = 63 ^ 2 + x ^ 2[/tex]
We cleared:
[tex]x ^ 2 = 65 ^ 2-63 ^ 2\\x = \pm \sqrt {4225-3969}\\x = \pm \sqrt {256}[/tex]
We choose the positive value:
[tex]x = \sqrt {256}\\x = 16[/tex]
Finally, the width of the rectangle is 16m
ANswer:
[tex]16m[/tex]
