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.