Calculate Rectangle Perimeter: Finding the Distance When Width is X-2

Question

Calculate the perimeter of the rectangle:

XXXX-2

Video Solution

Solution Steps

00:00 Calculate the rectangle's perimeter
00:03 Apply the formula for calculating the perimeter of a rectangle- 2 x the sum of its sides
00:09 Solve what's inside the parentheses first
00:14 Open the parentheses - multiply each factor
00:17 This is the solution

Step-by-Step Solution

To solve this problem, we need to find the perimeter of a rectangle with given dimensions. The formula for the perimeter P P is:

P=2(length+width) P = 2(\text{length} + \text{width})

In this problem, we are given:

  • Length =X = X
  • Width =X2 = X - 2

Using the perimeter formula, we substitute the given values:

P=2(X+(X2)) P = 2(X + (X - 2))

First, simplify the expression within the parentheses:

X+(X2)=X+X2=2X2 X + (X - 2) = X + X - 2 = 2X - 2

Now substitute back to find the perimeter:

P=2(2X2) P = 2(2X - 2)

Distribute the 2 to both terms inside the parentheses:

P=4X4 P = 4X - 4

Therefore, the perimeter of the rectangle is 4X4 4X - 4 .

The correct choice corresponding to this calculation is: 4X4 4X - 4 .

Answer

4x4 4x-4