The length of a rectangle is 26cm. What widths will make the perimeter greater than 70cm?
2(26) + 2w > 70
Solve for w.
14 feet
To find the widths that will make the perimeter greater than 70cm, we need to determine the range of possible width values.
Let's start by understanding the formula for the perimeter of a rectangle. The perimeter is calculated by adding the lengths of all four sides of the rectangle.
The formula for the perimeter of a rectangle is given as:
Perimeter = 2 * (Length + Width)
In this case, we are given the length of the rectangle as 26cm. We need to find the widths that will result in a perimeter greater than 70cm.
To solve the problem, we can utilize algebra. Let's substitute the given length value into the perimeter formula:
Perimeter = 2 * (26cm + Width)
Now, we need to set up the inequality to find the range of possible width values:
2 * (26cm + Width) > 70cm
Next, we simplify the inequality:
52cm + 2 * Width > 70cm
Subtract 52cm from both sides of the inequality:
2 * Width > 18cm
Finally, divide both sides of the inequality by 2:
Width > 9cm
Therefore, any width greater than 9cm will result in a perimeter greater than 70cm.