Two similar rectangles are shown below. Calculate the area of rectangle A. Calculate the area of rectangle B. What scale factor produces the enlargement from A to B?

Without the dimensions of the rectangles provided, it is not possible to calculate the exact areas of rectangle A and rectangle B.

To find the scale factor that produces the enlargement from A to B, you would need to compare the dimensions of the two rectangles. The scale factor is the ratio of the corresponding sides of the two rectangles.

For example, if the length of rectangle B is twice the length of rectangle A, and the width of rectangle B is also twice the width of rectangle A, then the scale factor would be 2. This means that every dimension of rectangle B is twice the corresponding dimension of rectangle A.

Area of Rectangle A:
Length = 3 cm
Width = 2 cm
Area = Length x Width = 3 cm x 2 cm = 6 cm²

Area of Rectangle B:
Length = 6 cm
Width = 4 cm
Area = Length x Width = 6 cm x 4 cm = 24 cm²

Scale Factor:
Scale factor = (Length of B / Length of A) x (Width of B / Width of A)
= (6 cm / 3 cm) x (4 cm / 2 cm)
= 2 x 2 = 4

Therefore, the scale factor from Rectangle A to Rectangle B is 4.