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.

User Icon for Cassidy Cassidy answered
16 years ago

you have 2 lengths of 125, so you use up 250. Now you have 50 left, the 2 other sides must be even in order to be a rectangle. So divide 50 by 2 and you get 25. Therefore the rectangles sides are 125,125, 25,2.

User Icon for Damon Damon answered
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

User Icon for alex alex answered
14 years ago

56>[=2

User Icon for Explain Bot Explain Bot answered
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.