Question

A coach gives her players the option of running around feel twice or around the entire stadium once the following diagram shows the field in stadium dimensions on a corner grid which runs longer how much longer​. Ill give brainliest and such this is also worth some good points

Answer 1

Answer:

The distance around the stadium is longer than about 75

Step-by-step explanation:

Answer 2

Answer:

Distance around the stadium is 75.16 monger than the field

Step-by-step explanation:

From the graph attached,

Coordinates of A → (-10, 60)

Coordinates of B → (60, -10)

Coordinates of C → (10, -60)

Coordinates of D → (-60, 10)

Perimeter of field = AB + BC + CD + DA

Since field is in the shape of a rectangle,

AB = CD and BC = DA

Therefore, perimeter of the rectangle = 2(AB + BC)

Length of AB = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

                      = $\sqrt{(60+10)^2+(-10-60)^2}$

                      = $\sqrt{2(70)^{2} }$

                      = $70\sqrt{2}$ m

Length of BC = $\sqrt{(60-10)^2+(-10+60)^2}$

                      = $50\sqrt{2}$ m

Perimeter of ABCD = 2(70√2 + 50√2)

                                = 240√2 m

                                = 339.41 m

Perimeter of stadium = 2πr      [Here, r = radius of the circle]

                                   = 2π(120)

                                   = 753.98 m

To run around the field twice, distance covered by the players = 2(339.41)

= 678.82 m

Difference in the distance covered to run around the stadium and the rectangular field = 753.98 - 678.82

                            = 75.16 m