Will ran a longer distance. He ran 56.57 yards.
Step-by-step explanation:
Given,
Length of square field = 40 yards
Diagonal of square = s√2
Diagonal of square = [tex]40\sqrt{2} = 56.57\ yards[/tex]
Length of rectangular field = 25 yards
Width of rectangular field = 35 yards
We will used Pythagorean theorem to find the diagonal of rectangular field.
a² + b² = c²
[tex](25)^2+(35)^2=c^2\\625+1225=c^2\\1850=c^2\\c^2=1850[/tex]
Taking square root on both sides
[tex]\sqrt{c^2} =\sqrt{1850}\\c=43.01\ yards[/tex]
Will ran a longer distance. He ran 56.57 yards.
Keywords: square, rectangle
Learn more about rectangles at:
- brainly.com/question/8540796
- brainly.com/question/8358304
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