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? Show you work or explain your process. Describe like a 7th grader
To find the length of the small youth T-shirt, we can use the concept of similarity. Two shapes are similar if they have the same shape but different sizes. Since the small youth T-shirt is similar to the large T-shirt, we can set up a proportion using the widths and lengths of the two shirts.
First, we write the proportion:
Large T-shirt width: Small T-shirt width = Large T-shirt length: Small T-shirt length
27.5 in : 15.5 in = 29.5 in : x in
Next, we can cross multiply to solve for the length of the small youth T-shirt:
27.5 * x = 15.5 * 29.5
27.5x = 458.25
Divide both sides by 27.5 to solve for x:
x = 16.65
Therefore, the length of the small youth T-shirt is approximately 16.65 inches. Since we are asked to round to the nearest inch, the length of the small youth T-shirt is 17 inches.