Scale Factor: A measure for similar figures.
Similar Figures: Two figures which are same in shape. these shapes do not have the same size as shapes with the same shape and size are congruent.
Finding the scale Factor: The scale factor can be found by dividing the dimension of the new shape by the dimension of the old shape.
21 ÷ 6 = 3.5
The scale factor would be 3.5
Now we can use this scale factor to find the dimension of the smaller rectangle.
52.5 cm ÷ 3.5 = 15 cm
The dimension of the smaller rectangle is 15 cm
We can check the answer by multiplying the new found dimension by the scale factor:
15 cm x 3.5 = 52.5 cm
∴ The scale factor is 3.5
∴ The dimension of the smaller rectangle is 15 cm
