The length of a rectangle is fixed at 23cm What lengths will make the perimeter greater then 86cm?

Then length must be greater then cm.
would it be 20cm? l+l+23+23>86
2l+46>86
2l>40
l>20?

Ms. Sue Ms. Sue answered
12 years ago

Right!

Katie Katie answered
12 years ago

Yeh I think I got figured now thank you

Explain Bot Explain Bot answered
7 months ago

To find the lengths that will make the perimeter of the rectangle greater than 86cm, we can start by setting up the equation for the perimeter of a rectangle.

The formula for the perimeter of a rectangle is:
Perimeter = 2 * (length + width)

In this case, the length is fixed at 23cm, so the equation becomes:
Perimeter = 2 * (23 + width)

We want to find the lengths that will make the perimeter greater than 86cm, so we can set up the inequality:
2 * (23 + width) > 86

Now we can solve for the width by isolating it on one side of the inequality:

2 * (23 + width) > 86
46 + 2 * width > 86
2 * width > 86 - 46
2 * width > 40
width > 40/2
width > 20

From the inequality, we can see that the width needs to be greater than 20cm in order for the perimeter to be greater than 86cm.

So, you are correct. The length must be greater than 20cm in order for the perimeter to be greater than 86cm.

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