Answer: The distance across a rectangular field is longer distance.
Step-by-step explanation:
Since we have given that
Dimension of square = 40 yards
So, Dimensions of rectangle are :
Length = 25 yards
Width = 35 yards
So, Perimeter of rectangle would be
[tex]2\times (l+b)\\\\=2\times (25+35)\\\\=2\times 60\\\\=120\ yards[/tex]
Diagonal of square would be
[tex]\sqrt{40^2+40^2}\\\\=\sqrt{1600+1600}\\\\=\sqrt{3200}\\\\=56.56\ yards[/tex]
Hence, the distance across a rectangular field is longer distance.
Answer:
Will ran the longer distance.
Step-by-step explanation:
In order to calculate this you have to create a triangle with the values that you are given, and the distance ran would be the hypothenuse, remember the formula for hypothnuse:
[tex]H=\sqrt[2]{a^2+b^2}[/tex]
Now we just insert the values into the formula:
[tex]H=\sqrt[2]{a^2+b^2}\\H=\sqrt[2]{40^2+40^2}\\H=56,56[/tex]
[tex]H=\sqrt[2]{a^2+b^2}\\H=\sqrt[2]{25^2+35^2}\\H=43,01[/tex]
AS you can see the hypothenuse in the square is greater than that of the rectangle, so Will who ran the hypothenuse of the square will be the one that ran the longer distance.
