Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the diagonal distance across a rectangular field with a length if 25 yards and a width of 35 yards. Who ran a longer distance? Show work to prove your answer.
Accepted Solution
A:
Answer: The distance across a rectangular field is longer distance.Step-by-step explanation:Since we have given that Dimension of square = 40 yardsSo, Dimensions of rectangle are :Length = 25 yardsWidth = 35 yardsSo, 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.