The perimeter of a rectangle is 38 centimeters. The length is 7.5 centimeters. What is the width?
P = 2L + 2W
38 = 2(7.5) + 2W
Solve for W
11.5
To find the width of a rectangle when given the length and perimeter, we can use the formula for the perimeter of a rectangle:
Perimeter = 2 * (length + width)
We are given that the length is 7.5 centimeters and the perimeter is 38 centimeters. Plugging these values into the formula, we get:
38 = 2 * (7.5 + width)
To solve for the width, we can start by simplifying the equation:
38 = 15 + 2 * width
Next, we isolate the term with the width by subtracting 15 from both sides of the equation:
38 - 15 = 15 - 15 + 2 * width
23 = 2 * width
Finally, we divide both sides of the equation by 2 to solve for the width:
23 / 2 = 2 * width / 2
11.5 = width
Therefore, the width of the rectangle is 11.5 centimeters.