I have a question that says one rectangle has a 3x4 centimeter area. If I make another rectangle, what's the area if the scale factor is 4?
(3 * 4) * ( 4 * 4 ) = 12 * 16 = 192 cm ^ 2
Thx :)
To find the area of the second rectangle with a scale factor of 4, we need to understand the relationship between the scale factor and the area.
The scale factor represents how much the dimensions of the rectangle are being multiplied by. In this case, the scale factor is 4, which means that the length and width of the second rectangle will be 4 times larger than the first rectangle.
Given that the area of the first rectangle is 3x4 centimeters, we can calculate the area of the second rectangle using the formula:
Area = (Length) x (Width)
Since the length and width are both scaled by a factor of 4, we can multiply them by 4 to find the dimensions of the second rectangle.
Length of the second rectangle = 3 cm * 4 = 12 cm
Width of the second rectangle = 4 cm * 4 = 16 cm
Now, we can calculate the area of the second rectangle:
Area of the second rectangle = (Length) x (Width) = 12 cm x 16 cm = 192 cm²
Therefore, the area of the second rectangle, with a scale factor of 4, is 192 square centimeters.