2. The length of a rectangle is 18 centimeters and the width is 6 centimeters. A similar rectangle has a width of 2 centimeters. What is the length of the second rectangle? (Sketch a picture)

6

Step-by-step explanation:

I am unable to sketch a picture for you but I will do my best to help you understand. We know that our length of the first rectangle is 18 cm and the width is 6 cm. At the moment we don't need 18 so we'll put that to the side for now and focus on the width. We understand that in a second similar rectangle, the width is 2 centimeters. in order to find our scale, we must divide the larger width by the smaller width. This means we will divide 6cm by 2 cm. 6/2=3  This means that we also divide 18 by 3 since the similar rectangle is smaller and we are figuring out the missing side. After dividing 18 by 3 we should get an answer of 6. 18/3=6  Which means that our similar rectangle has a length of 6 cm and a width of 2 cm.

I also want to mention that similar rectangles are not the same rectangle however you can think of them as enlargerd/shrunk versions of the original rectangle. I hope this helps.