Question
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
a2+b2=c2
(10 points)
Path Length=
yards
Answers
GPT 3.5
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 = 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.