Final answer:
To find the perimeter of a rectangle, divide the given area by one of the sides to find the dimensions of the rectangle. Then, calculate the perimeter by adding up the lengths of all sides. The answer is 40.4cm.
Step-by-step explanation:
To find the perimeter of a rectangle, you need to add up the lengths of all its sides. Since the area of the rectangle is given as 64.8 square centimeters, we can find the dimensions of the rectangle by dividing the area by one of the sides. Let's assume the length of the rectangle is 16.2 cm (which is the square root of 64.8). So, the width of the rectangle can be calculated as the area divided by the length: 64.8 / 16.2 = 4 cm.
Now, we can calculate the perimeter by adding up the lengths of all sides: P = 2(length + width) = 2(16.2 + 4) = 40.4 cm.