I need to know if I have this set up correctly. The perimeter of a rectangle is to be no greater than 300 in., and the length must be 125 in, Write an inequality representing the maximum perimeter.

Question

I need to know if I have this set up correctly. The perimeter of a rectangle is to be no greater than 300 in., and the length must be 125 in, Write an inequality representing the maximum perimeter.

300>2(125)+2w

thanks

300>2(125)+2w

Answer 1

To determine if you have set up the inequality correctly, let's break it down:

The perimeter of a rectangle is given by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width of the rectangle.

In this case, you are given that the length must be 125 inches. So, substituting l = 125 in the formula, we get:

P = 2(125) + 2w

Simplifying further:

P = 250 + 2w

Now, since it is stated that the perimeter should be no greater than 300 in, the inequality is as follows:

P ≤ 300

Substituting the value of P from the earlier equation, we have:

250 + 2w ≤ 300

So, the correct inequality representing the maximum perimeter is:

250 + 2w ≤ 300