A town wants to put a sidewalk across a popular park. They have measured the dimensions of the park to use in calculating the length of the proposed sidewalk. Find the sidewalk length to the nearest tenth of a yard.
one side 65, other side 40yd
To calculate the length of the sidewalk across the park, we can use the Pythagorean theorem:
c = √(a^2 + b^2), where c is the length of the sidewalk, and a and b are the lengths of the two sides of the park.
Plugging in the values, we get:
c = √(65^2 + 40^2)
c = √(4225 + 1600)
c = √(5825)
c ≈ 76.3 yards
Therefore, the length of the sidewalk across the park would be approximately 76.3 yards.