the length of rectangle is fixed at 17 cm. What widths will make the perimeter greater than 82 cm?
solve
2w + 2(17) > 82
To find the widths that will make the perimeter of a rectangle greater than 82 cm, we need to set up an inequality based on the given information.
Let's assume the width of the rectangle is "w" cm.
Given:
Length of the rectangle = 17 cm
Perimeter of a rectangle = 2(length + width)
We can set up the inequality as follows:
2(17 + w) > 82
Now, let's solve this inequality to find the range of widths that will make the perimeter greater than 82 cm.
2(17 + w) > 82
34 + 2w > 82
2w > 82 - 34
2w > 48
w > 48 / 2
w > 24
Therefore, any width greater than 24 cm will make the perimeter of the rectangle greater than 82 cm.