Final answer:
The area of the square solar panel is written as a power 4². The side length of the panel is found by taking the square root of the area, which is 4 feet.
Step-by-step explanation:
The student has asked two questions:
- How to write the area of a square solar panel as a power.
- How to find the side lengths of the panel.
With an area of 16 square feet, we can express this as a power by identifying the base and exponent that would multiply to get 16. Since 16 is a perfect square, it is equal to 4², which means it is 4 raised to the power of 2. To find the side length of a square, we take the positive square root of the area. Therefore, the side length of the solar panel is √16, which equals 4 feet.
Let's see the calculation:
- Area of the square = 16 square feet.
- Written as a power: 16 = 4² (since 4 x 4 = 16).
- Side length of the square = √(area) = √16 = 4 feet.