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Sam is fencing in his property. The length is 12 feet less than twice the width. If the total amount of fence needed is 216 feet, what is the length of the property? blank feet

Respuesta :

annaboglino

Answer:

L = 68 ft

Step-by-step explanation:

To find the perimeter of something you need to add up all the sides

In this case I am assuming Sam's property is a square/rectangle

  • Which means the formula for the perimeter is P = 2L + 2W

If L = 2W - 12 and P = 216, we can use these values and plug them into our perimeter equation to solve for w and then solve for l

  • 216 = 2(2W -12) + 2W → ditributing the 2 to the (2w - 12) gives us
  • 216 = 4W - 24 + 2W → combing like terms gives us
  • 216 = 6W - 24 → adding 24 to both sides gives us
  • 240 = 6W → dividing both sides by 6 gives us
  • 40 ft = W

With the width being solved, we can now plug that value into our length equation

  • L = 2(40) - 12 → distributing the 2 to the 40 gives us
  • L = 80 - 12 → combing like terms give us
  • L = 68 ft

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