The perimeter of a rectangle is to be no greater than 300 in., and the length must be 125 in. Find the maximum width of the rectangle.
16 years ago
16 years ago
But maybe use algebra. I do not know what math carly is taking.
2 L + 2 W </= 300
250 + 2 W </= 300
2 W </= 50
W </= 25
14 years ago
56>[=2
11 months ago
To find the maximum width of the rectangle, we need to use the given information and apply it to the formula for the perimeter of a rectangle.
Let's start by understanding the formula for the perimeter of a rectangle:
Perimeter = 2*(Length + Width)
We are given that the length of the rectangle is 125 inches, so we can substitute this value into the formula:
Perimeter = 2*(125 + Width)
Now we know that the perimeter must be no greater than 300 inches, so we can set up an inequality:
2*(125 + Width) ≤ 300
To find the maximum width, we need to solve this inequality by isolating the width variable.
Let's solve the inequality step by step:
2*(125 + Width) ≤ 300
First, distribute the 2:
250 + 2*Width ≤ 300
Then, subtract 250 from both sides:
2*Width ≤ 300 - 250
2*Width ≤ 50
Next, divide both sides by 2:
Width ≤ 50/2
Now we find:
Width ≤ 25
Therefore, the maximum width of the rectangle is 25 inches.