the length of a rectangle is fixed at 13cm. what widths will make the perimeter greater than 80 cm? The width must be greater than ?
P = 2L + 2W
80 = 26 + 2W
80 - 26 = 2W
54 = 2W
54/2 = W
27 = W
The width must be more than 27
355
To determine the widths that will make the perimeter of a rectangle greater than 80 cm when the length is fixed at 13 cm, we need to understand the formula for the perimeter of a rectangle, which is given by:
Perimeter = 2 * (Length + Width)
In this case, the length is fixed at 13 cm. Substituting this value into the formula, we get:
Perimeter = 2 * (13 + Width)
We want to find the widths that will make the perimeter greater than 80 cm. So, we set up the inequality:
2 * (13 + Width) > 80
Now we can solve this inequality to find the range of widths:
2 * 13 + 2 * Width > 80
26 + 2 * Width > 80
2 * Width > 80 - 26
2 * Width > 54
Width > 54 / 2
Width > 27
Therefore, the width must be greater than 27 cm to make the perimeter of the rectangle greater than 80 cm.