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Ilia_Sergeevich [38]
3 years ago
6

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
Mathematics
1 answer:
DaniilM [7]3 years ago
3 0

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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