A T-shirt comes in different sizes. A large T-shirt is 21.5 in. wide and 26.5 in. long. If a small youth T-shirt is 15.5 in. wide, what is its length? Choose the best answer 8.MGSR.2.5

10.7 inches
19.1 inches
12.5 inches
37.75 inches

1 answer

To find the length of the small youth T-shirt based on the width given, we need to consider the size ratio between the large and small sizes.

The large T-shirt is 21.5 inches wide. The small youth T-shirt is 15.5 inches wide.

First, we determine the ratio of the width of the small T-shirt to the width of the large T-shirt:

\[ \text{Ratio} = \frac{\text{Width of Small T-shirt}}{\text{Width of Large T-shirt}} = \frac{15.5}{21.5} \]

Now we calculate this ratio:

\[ \frac{15.5}{21.5} \approx 0.7209 \]

Next, we apply this ratio to the length of the large T-shirt, which is 26.5 inches:

\[ \text{Length of Small T-shirt} = 0.7209 \times 26.5 \approx 19.1 \text{ inches} \]

Therefore, the length of the small youth T-shirt is approximately 19.1 inches.

So, the best answer from the options provided is 19.1 inches.