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 your work or explain your process.
(2 points)
If the small youth T-shirt is similar to the large T-shirt, then their corresponding sides will be proportional.
Let x be the length of the small youth T-shirt.
We can set up a proportion:
27.5/29.5 = 15.5/x
Cross multiplying, we get:
27.5x = 15.5 * 29.5
27.5x = 458.25
x = 458.25 / 27.5
x ≈ 16.65
Therefore, the length of the small youth T-shirt is approximately 16.65 inches, which rounds to 17 inches to the nearest inch.