The width of a rectangle is fixed at 13cm. What lengths will make the perimeter greater than 82cm?
The length must be greater than what cm.
Let x = length
2(13) + 2x > 82
Solve for x.
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To find the lengths that will make the perimeter greater than 82cm, we need to understand the formula for calculating the perimeter of a rectangle. The perimeter of a rectangle is given by the formula P = 2(l + w), where P represents the perimeter, l represents the length, and w represents the width.
In this case, the width is fixed at 13cm.
Substituting the given values into the formula, we have:
82 > 2(l + 13)
Now, let's solve for l:
82 > 2l + 26
82 - 26 > 2l
56 > 2l
56/2 > l
28 > l
Therefore, the length must be greater than 28cm in order to make the perimeter greater than 82cm.
To find the lengths that will make the perimeter greater than 82cm, let's first determine the formula for the perimeter of a rectangle.
Perimeter = 2 * (Length + Width)
Given that the width is fixed at 13cm, we can substitute this value into the formula:
Perimeter = 2 * (Length + 13)
Now we want to find the lengths that will make the perimeter greater than 82cm. So we can set up an inequality:
2 * (Length + 13) > 82
To solve this inequality, we can start by simplifying it:
Length + 13 > 41
Next, subtract 13 from both sides of the inequality:
Length > 41 - 13
Simplifying further:
Length > 28
Therefore, any length greater than 28cm will make the perimeter of the rectangle greater than 82cm.