The perimeter of a rectangle is to be between 170 and 230 inches.
Find the range of values for its length when its width is 45 inches.
We know that: .
Since , we have: .
The perimeter is between 170 and 230 inches.
Therefore, the length must be between 40 and 70 inches.
The perimeter of a square is to be from 45 meters to 90 meters.
Find the range of values for its area.
Let = side of the square.
The perimeter of a square is: .
The perimeter is between 45 and 90: .
Divide by 4: .
The length of the side is between 11¼ and 22½ meters.
The area of the square is: .
So we have: .
The area is between: .