The field inside a running track is made up of a rectangle 84.39m (meters) long and 73m (meters) wide, together with a half-circle at each end. The running lanes are 9.76m (meters) wide all the way around. Question: What is the area of the running track that goes around the field? Explain or show your reasoning.

3886.53

Step-by-step explanation:

The running track consist of two semicircles and a rectangle.

So that;

Diameter of the semicircles = width of the rectangle = 73 m

radius =

          =

          = 36.5 m

But the two semicircles form a circle, so that;

Circumference of a circle = 2r

Circumference of the circle formed by the semicircles = 2 x x 36.5

                                          = 229.43 m

Thus,

length of the running track = circumference of the circle formed + length of the two sides of the rectangle

                                             = 229.43 + 84.39 + 84.39

                                             = 398.21 m

The length of the running track is 398.21 m.

Therefore;

Area of the running track = length x width

                                         = 398.21 x 9.76

                                         = 3886.5296

The area of the running track is 3886.53 .

the fist one is not equalvalent but i think th second one isand the third isnt definetly or the last one is i think. hope this !

step-by-step explanation:

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5