the length of a rectangle is fixed at 12 cm. What widths will make the perimeter greater than 88 cm?
2(12) + 2W > 88
Solve for Width.
hi I need help with it!!!! HELP!!!!!
To find the widths that will make the perimeter of the rectangle greater than 88 cm, we first need to understand the formula for the perimeter of a rectangle.
The formula for the perimeter of a rectangle is:
Perimeter = 2 * length + 2 * width
In this case, the length is fixed at 12 cm, so the formula becomes:
Perimeter = 2 * 12 cm + 2 * width
Simplifying the formula gives:
Perimeter = 24 cm + 2 * width
Perimeter = 24 cm + 2w
Now, we want to find the widths that will make the perimeter greater than 88 cm. In other words, we need to solve the inequality:
Perimeter > 88 cm
Substituting the formula for perimeter, we have:
24 cm + 2w > 88 cm
To isolate the variable w (width), we subtract 24 cm from both sides of the inequality:
2w > 88 cm - 24 cm
2w > 64 cm
Finally, we divide both sides of the inequality by 2 to solve for w:
w > 32 cm
Therefore, for the perimeter to be greater than 88 cm, the width must be greater than 32 cm.