Question

A painting crew is painting a large ballroom. The length of one side is 6 feet and the length of the other side is 6 feet. What is the area of one wall? Leave it in exponential form. Explain how you got your answer.

a) A = 6^2 square feet; Explanation: The area of a square is side length squared.
b) A = 12 square feet; Explanation: The area is twice the side length.
c) A = 36 square feet; Explanation: The area of a square is side length times side length.
d) A = 6 square feet; Explanation: The area of one wall is 6 square feet.

Answer 1

The area of a wall that is a square with each side measuring 6 feet is calculated by squaring the side length. The correct area is 6² square feet, because the area of a square is the side length squared.

Step-by-step explanation:

The question asks for the area of one wall with side lengths of 6 feet.

To calculate the area of a square (in this case representing the wall of the ballroom), you multiply the side length by itself, or more simply, square the side length. Therefore, the formula for the area of a square is A = side length ².

Applying this formula to the provided dimensions, we calculate the area of the wall by squaring the side length of 6 feet:

A = 6 feet · 6 feet = 6² square feet.

So, the correct answer is:

a) A = 6² square feet;

Explanation: The area of a square is side length squared.