The field inside a running track is made of a rectangle that is 84.39 m long and 73 m wide to gether with a half circle at each end. what is the distance around the track?

398.21 m

Step-by-step explanation:

The field inside a running track is made of a rectangle that is 84.39 m long and 73 m wide to gather with a half circle at each end.

So, the radius of each half circle will be m.

Therefore, the total distance around the track i.e perimeter of the area covered by the track will be = 2 × Perimeter of each half circle + 2 × Length of the rectangle.

= Perimeter of full circle + 2 × Length of the rectangle.

=

=

= 398.21 m.(Answer)

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

the circle one