Question

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 = ?

Answer 1

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

Answer 2

• 12 units

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