Using the Pythagorean theorem, we can find the length of the diagonal path. Let's label the length as "c" and the sides of the rectangle as "a" and "b".
a = 40 yards
b = 80 yards
c = ?
According to the Pythagorean theorem,
a^2 + b^2 = c^2
Substituting the values,
40^2 + 80^2 = c^2
Simplifying,
1600 + 6400 = c^2
8000 = c^2
Taking the square root of both sides,
√8000 = c
c ≈ 89.44 yards
Therefore, the length of the diagonal path will be approximately 89.4 yards.
A rectangular park that measures 40 yards by 80 yards will have a diagonal path built. How long will the diagonal path be? Round your answer to the nearest tenth.
a2+b2=c2
(10 points)
Path Length=
yards
1 answer
1 answer