Answer:
<u>Will</u> ran the longer distance.
He run <u>56.40 yards</u> longer distance.
Step-by-step explanation:
<u><em>The question is incorrect so the correct question is below.</em></u>
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:
![Diagonal=length\sqrt{2}](https://tex.z-dn.net/?f=Diagonal%3Dlength%5Csqrt%7B2%7D)
![Diagonal=40\times \sqrt{2}](https://tex.z-dn.net/?f=Diagonal%3D40%5Ctimes%20%5Csqrt%7B2%7D)
![Diagonal=40\times 1.41](https://tex.z-dn.net/?f=Diagonal%3D40%5Ctimes%201.41)
![Diagonal=56.40\ yards.](https://tex.z-dn.net/?f=Diagonal%3D56.40%5C%20yards.)
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:
![Diagonal^2=length^2+width^2](https://tex.z-dn.net/?f=Diagonal%5E2%3Dlength%5E2%2Bwidth%5E2)
![Diagonal^2=25^2+35^2](https://tex.z-dn.net/?f=Diagonal%5E2%3D25%5E2%2B35%5E2)
![Diagonal^2=625+1225](https://tex.z-dn.net/?f=Diagonal%5E2%3D625%2B1225)
![Diagonal^2=1850](https://tex.z-dn.net/?f=Diagonal%5E2%3D1850)
<em>Using square root on both sides we get:</em>
![Diagonal=43.01\ yards.](https://tex.z-dn.net/?f=Diagonal%3D43.01%5C%20yards.)
Hence, James ran the diagonal distance 43.01 yards across the rectangular field.
<em>Now, we see the diagonal distance of both Will and James.</em>
<em>As, Will ran 56.40 yards and James ran 43.01 yards.</em>
<em>So, Will ran longer distance than James. And he run 56.40 yards</em>.
Therefore, Will ran the longer distance.
He run 56.40 yards longer distance.