Respuesta :
Answer:
Will ran the longer distance.
He run 56.40 yards longer distance.
Step-by-step explanation:
The question is incorrect so the correct question is below.
Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the distance across a rectangular field with a length of 25 yards and a width of 35 yards. Who ran a longer distance,and how much longer did he run?
Now, to find the person who ran longer distance and the distance he run.
Will ran the diagonal distance across a square field.
The length of square field = 40 yards.
So, we put formula to get the diagonal of square:
[tex]Diagonal=length\sqrt{2}[/tex]
[tex]Diagonal=40\times \sqrt{2}[/tex]
[tex]Diagonal=40\times 1.41[/tex]
[tex]Diagonal=56.40\ yards.[/tex]
Thus, Will ran 56.40 yards diagonal distance of the square field.
Now, James ran the distance across a rectangular field with a length of 25 yards and a width of 35 yards.
So, to get the diagonal of rectangular field we use pythagorean theorem:
[tex]Diagonal^2=length^2+width^2[/tex]
[tex]Diagonal^2=25^2+35^2[/tex]
[tex]Diagonal^2=625+1225[/tex]
[tex]Diagonal^2=1850[/tex]
Using square root on both sides we get:
[tex]Diagonal=43.01\ yards.[/tex]
Hence, James ran the diagonal distance 43.01 yards across the rectangular field.
Now, we see the diagonal distance of both Will and James.
As, Will ran 56.40 yards and James ran 43.01 yards.
So, Will ran longer distance than James. And he run 56.40 yards.
Therefore, Will ran the longer distance.
He run 56.40 yards longer distance.
