The width of a rectangle is fixed at 28 cm. What lengths will make the perimeter greater than 70 cm?
70 - x = 56
70 - 56 = x
14 = x
The length has to be greater than 7.
thank you very much
To find the lengths that will make the perimeter of a rectangle greater than 70 cm, we need to use the formula for the perimeter of a rectangle:
P = 2 * (length + width)
In this case, the width is fixed at 28 cm. Let's substitute this value into the formula:
P = 2 * (length + 28)
Since we want the perimeter to be greater than 70 cm, we can set up the following inequality:
2 * (length + 28) > 70
Now, let's solve this inequality step by step:
2 * length + 2 * 28 > 70
2 * length + 56 > 70
2 * length > 70 - 56
2 * length > 14
length > 14 / 2
length > 7
Therefore, any length greater than 7 cm will make the perimeter of the rectangle greater than 70 cm.