Question

4 Two rectangles have a scale factor of 3. If the area of the smaller rectangle is 45, what is the area of the larger rectangle?​

Answer 1

The area of the larger rectangle can be found to be 405 square units.

How to find the area ?

To find the area of the larger rectangle when the scale factor between the two rectangles is 3, you can use the fact that the area of a shape scales by the square of the scale factor.

In this case, the scale factor is 3, so the area of the larger rectangle will be:

Area of larger rectangle = (Scale factor) ² * Area of smaller rectangle

Area of larger rectangle = 3 ² * 45

Now, calculate the area of the larger rectangle:

Area of larger rectangle = 9 * 45

Area of larger rectangle = 405

In conclusion, the area of the larger rectangle is 405 square units.