The maximum width of a rectangle with a perimeter no greater than 90 centimeters and a length of 40 centimeters is blank centimeters
The maximum width of a rectangle with a perimeter no greater than 90 centimeters and a length of 40 centimeters is blank centimeters
To find the maximum width of a rectangle with a given perimeter and length, we can use the formula for the perimeter of a rectangle:
Perimeter = 2 * length + 2 * width
Given that the length is 40 centimeters and the perimeter cannot exceed 90 centimeters, we can set up the following inequality:
2 * 40 + 2 * width ≤ 90
Simplifying the inequality:
80 + 2 * width ≤ 90
2 * width ≤ 90 - 80
2 * width ≤ 10
Dividing both sides by 2:
width ≤ 10 / 2
width ≤ 5
Therefore, the maximum width of the rectangle is 5 centimeters.