One of the world's largest stained-glass windows is at Kennedy international airport in New York.

Question

It is a rectangle with a height to length ratio of 2 to 25. If the window is 24 feet high, how long is it?

Answer 1

To find the length of the stained-glass window, we can use the given height to length ratio of 2 to 25.

Let the height be \( h \) and the length be \( l \). According to the ratio, we can express this relationship as:

\[ \frac{h}{l} = \frac{2}{25} \]

We know the height \( h \) is 24 feet. We can substitute this value into the equation:

\[ \frac{24}{l} = \frac{2}{25} \]

To solve for \( l \), we can cross-multiply:

\[ 24 \times 25 = 2 \times l \]

This gives us:

\[ 600 = 2l \]

Next, we divide both sides by 2 to isolate \( l \):

\[ l = \frac{600}{2} = 300 \]

Thus, the length of the stained-glass window is \( 300 \) feet.