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.
To find the length of the small youth T-shirt, we need to set up a proportion using the widths and lengths of the large and small T-shirts.
Let x be the length of the small youth T-shirt.
Using the proportion:
27.5/29.5 = 15.5/x
Cross multiply:
27.5 * x = 29.5 * 15.5
27.5x = 458.25
x = 458.25 / 27.5
x ≈ 16.66
Therefore, the length of the small youth T-shirt to the nearest inch is approximately 17 inches.