Respuesta :

9514 1404 393

Answer:

  82 ft

Step-by-step explanation:

We can find the value of x by making use of the fact that corresponding angles have equal measures.

  ∠K = ∠N

  20x -10 = 15x +15

  5x = 25 . . . . . . . . . . add 10-15x

  x = 5 . . . . . . . . . . . .  divide by 5

Then the side lengths are ...

  JK = (4x -4) ft = (4·5 -4) ft = 16 ft

  KL = (5x +1) ft = (5·5 +1) ft = 26 ft

And the perimeter is the sum of side lengths:

  16 ft + 26 ft + 40 ft = 82 ft

The perimeter of each pool is 82 feet.