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The perimeter of the rectangle below is 56 units. Find the length of side BC.
Write your answer without variables.
DC = 3x - 2 DA = 2x
BC = ?

Sagot :

mhanifa

Answer:

  • 12 units

Step-by-step explanation:

Perimeter formula:

  • P = 2(l + w)

Given:

  • l = 3x - 2
  • w = 2x
  • P = 56

Find the value of x:

  • 2(3x - 2 + 2x) = 56
  • 5x - 2 = 28
  • 5x = 30
  • x = 6

BC is parallel side to AD and is:

  • BC = AD = 2*6 = 12

BC must parallel to DA hence equal

Now

  • 2(Length+Breadth)=Perimeter
  • 2(3x-2+2x)=56
  • (5x-2)=28
  • 5x=30
  • x=6

BC=2(6)=12units

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