Final answer:
To find the perimeter of a rectangle with an area of 144 square centimeters, we can use the formula A = l × w. By solving for the values of l and w, we can substitute them into the perimeter formula P = 2L + 2W to calculate the perimeter.
Step-by-step explanation:
To find the perimeter of a rectangle, we need to add the lengths of all its sides. Since the rectangle has an area of 144 square centimeters, we can use the formula A = l × w, where A represents the area, l represents the length, and w represents the width.
In this case, we are given the area of 144 square centimeters. Let's assume that the length is L and the width is W. So we have the equation L × W = 144.
To find the perimeter, we need to find the values of L and W. Since the length and width could be different, we can solve for L by dividing 144 by W: L = 144 ÷ W.
Now we can substitute this value of L into the perimeter formula, which is P = 2L + 2W. Therefore, the perimeter of the rectangle is P = 2(144 ÷ W) + 2W.