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.
best answer
To find the length of the small youth T-shirt, we can 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 formula for proportions:
Large T-shirt width / Large T-shirt length = Small T-shirt width / Small T-shirt length
27.5 / 29.5 = 15.5 / x
Cross multiply to solve for x:
27.5 * x = 29.5 * 15.5
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 when rounded to the nearest inch.