A toothpaste manufacturer wraps its boxes in plastic. Its most popular toothpaste comes in a box that’s 8 centimeters tall and u
ses 1,224 square centimeters of plastic wrap. The company sells a travel version of the toothpaste in a box that’s a dilation of the original box. The travel version uses 306 square centimeters of plastic wrap. How tall is the travel version’s box? A. 1/2 centimeters
B. 2 centimeters
C. 4 centimeters
D. 5 centimeters
Dilation is the increase or decrease in the size of a figure by a factor k to create and image. Both the figure and image are similar, hence the ratio of their corresponding sides are congruent.
Let h represent the height of the travel box, hence: