A T-shirt comes in different sizes. A large T-shirt is 27.5 in. wide and 29.5 in. long. If a small youth T-shirt is 15.5 in. wide, what is its length to the nearest inch if it is similar to the large t-shirt? explain your process
In order to find the length of the small youth T-shirt, we can use the concept of similarity. When two objects are similar, their corresponding sides are in proportion.
The ratio of the width of the large T-shirt to the width of the small youth T-shirt is 27.5/15.5 = 1.7742.
Since the small T-shirt is similar to the large T-shirt, the ratio of their lengths will also be 1.7742.
Therefore, to find the length of the small youth T-shirt, we can multiply the width of the small youth T-shirt by the ratio we found above:
15.5 * 1.7742 = 27.5
Therefore, the length of the small youth T-shirt would be approximately 27.5 inches.