a square has sides of 9 inches. A second square is going to be drawn with a scale factor of 3. What is the area of the second square?
9 * 3 = 27 in
27 ^ 2 = 729 in ^ 2
To find the area of the second square, we need to understand what a scale factor is. A scale factor is a multiplier that is applied to the dimensions of a shape to create a similar shape. In this case, the scale factor is 3, which means each side of the second square will be 3 times longer than the corresponding side of the first square.
First, let's find the length of each side of the second square. We know the length of each side of the first square is 9 inches. Multiplying it by the scale factor of 3, we get:
Length of each side of the second square = 9 inches * 3 = 27 inches
Now, to find the area of a square, we simply need to square the length of one of its sides. Since each side of the second square is 27 inches long, we can calculate the area of the second square using the formula:
Area of the second square = (Length of each side)^2
Plugging in the values, we have:
Area of the second square = (27 inches)^2 = 729 square inches.
Therefore, the area of the second square is 729 square inches.