Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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 :

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