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.
is it 18 inches
To find the length of the small youth T-shirt, we can use proportions.
Let x be the length of the small youth T-shirt.
Using the property of similar shapes, we set up the following proportion:
27.5 in / 29.5 in = 15.5 in / x
Cross multiplying, we get:
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 is approximately 16.66 inches, which we can round to the nearest inch to get 17 inches.