Question

a rectangular field is 50 yards and 100 yards long. patrick walks diagonally across the field. how far does he walk

Answer 1

Answer:

A football field is a rectangle, so a diagonal line creates 2 right triangles. The formula for the length of the sides of a right triangle is

a

2

+

b

2

=

c

2

For this problem, we know

a

and

b

, so we just have to find

c

.

100

2

+

50

2

=

c

2

=

12500

The length of the diagonal is

√

12500

, which is 111.80 yards.

Answer 2

Answer:

50√5 ≈ 111.80 yards

Step-by-step explanation:

d² = 50² + 100² = 12,500 yards²

d = √12500 = 50√5 ≈ 111.80 yards