Question

Ella is creating a rectangular poster from a template she made on a rectangular piece of paper. The poster and sheet of paper are similar in shape. She enlarges the dimension of the paper by a scale factor of 6.4 to create the poster. What is the scale factor?

a) 4.6
b) 5.4
c) 6.4
d) 7.2

Answer 1

The scale factor used by Ella to create a similar rectangular poster from her template is 6.4. This scale factor is applied to all dimensions of the original rectangle to maintain the proportional shape.

Step-by-step explanation:

The scale factor that Ella uses to enlarge the dimensions of a rectangular piece of paper to create a similar shaped poster is given as 6.4. This means every dimension of the template (length and width) is multiplied by 6.4 to obtain the corresponding dimensions of the poster.For example, if the original width of the template is 2 inches, the width of the poster will be 2 inches × 6.4 = 12.8 inches. Similarly, if the length is 3 inches, the length of the poster will be 3 inches × 6.4 = 19.2 inches. This maintains the proportionality between the dimensions of the paper and the poster, keeping their shapes similar as per the definition of a scale factor.Therefore, based on the options provided, the correct answer is c) 6.4.