A street artist makes a painting of the architecture in a city. The artist uses a square canvas. The area of the canvas is 11 square meters. (A = s^2 and P = 4s). What is the exact perimeter of the canvas in meters?

A street artist makes a painting of the architecture in a city. The artist uses a square canvas. The area of the canvas is 11 square meters. (A = s^2 and P = 4s). What is the exact perimeter of the canvas in meters?

Answer

To find the perimeter of the square canvas, we first need to determine the length of one side, s. We are given that the area of the canvas is 11 square meters. The formula for the area of a square is A = s^2. Therefore, s^2 = 11, which means the side length s is equal to the square root of 11, or s = sqrt(11). Next, we use the perimeter formula for a square, which is P = 4s. Substituting the side length into the formula, we get P = 4 * sqrt(11), or 4sqrt(11). Looking at the choices, 4sqrt(11) is one of the options.