Thea drew rectangle R from rectangle Q with a scale factor of 36.
Explanation:
The area of any rectangle is determined by multiplying its length with its width. The original shape, rectangle Q's area is 2 square units. Now we measure the area of rectangle R. The length of rectangle R is measured to be 9 units and its width equals 8 units. So its area = 9 × 8 = 72 units.
To determine the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the area of both rectangles. So the scale factor = [tex]\frac{Area of rectangleR}{AreaofrectangleQ}[/tex] = [tex]\frac{72}{2}[/tex] = 36.
So the rectangle Q is enlarged with a scale factor of 36 to produce rectangle R.
