Perimeter of 50 2/4 inches. What is my width? Length is 15 1/4 inches. Please help I have to find the width and I don't understand

P = 2L + 2W

50.5 = (2 * 15.25) + 2W

50.5 = 30.5 + 2W

20 = 2W

10 = W

To find the width, we need to understand the concept of perimeter and how it is calculated.

Perimeter is the distance around the outside of a shape or object. In this case, we are given a perimeter of 50 2/4 inches.

To find the perimeter of a rectangle, we add up the lengths of all four sides.

In this case, we are given the length as 15 1/4 inches. So, if we assume that the width is represented by 'w', we can set up the equation:

Perimeter = 2 * (Length + Width)

Substituting the given values:
50 2/4 = 2 * (15 1/4 + w)

Now, let's simplify the equation by converting 50 2/4 inches to a mixed fraction:

50 2/4 = 50 + 2/4 = 50 + 1/2 = 50 1/2

The equation now becomes:

50 1/2 = 2 * (15 1/4 + w)

To solve for 'w', we need to isolate it on one side of the equation. Let's proceed with the calculation.

First, simplify the equation:

50 1/2 = 2 * (15 1/4 + w)

Now, distribute 2 to the terms inside the parentheses:

50 1/2 = 30 1/2 + 2w

Next, subtract 30 1/2 from both sides of the equation:

20 = 2w

Finally, divide both sides of the equation by 2 to solve for 'w':

w = 20 / 2

w = 10

Therefore, the width is 10 inches.