For their homecoming parade, the students of U-Math have created a colorful banner, 35 meters in length, that is made of two pieces of parachute material.
The short piece is 17 meters shorter than the long piece. Find the length of each piece

Let's define the lengths of the two pieces of parachute material.

- Let the length of the long piece be \( x \) meters.
- The short piece is 17 meters shorter than the long piece, so its length will be \( x - 17 \) meters.

The total length of the banner is 35 meters, so we can set up the following equation:

\[
x + (x - 17) = 35
\]

Now, let's solve this equation:

1. Combine like terms:
\[
x + x - 17 = 35
\]
\[
2x - 17 = 35
\]

2. Add 17 to both sides:
\[
2x = 35 + 17
\]
\[
2x = 52
\]

3. Divide both sides by 2:
\[
x = \frac{52}{2} = 26
\]

Thus, the long piece is \( 26 \) meters. The short piece is \( 26 - 17 = 9 \) meters.

### Final Answer:
- Long piece: 26 meters
- Short piece: 9 meters

Would you like any further explanation on this solution?

### Related Questions:
1. If the banner was 45 meters long and the short piece was 20 meters shorter, what would be the lengths?
2. What if the long piece was 30% longer than the short piece for a 35-meter banner?
3. How would the problem change if the total length was given in feet instead of meters?
4. What is the total area if the width of the banner is 2 meters?
5. How would the equation change if the short piece was half the length of the long piece?

### Tip:
When solving problems with unknowns, always try to express relationships clearly using variables.

For their homecoming parade, the students of U-Math have created a colorful banner, 35 meters in length, that is made of two pieces of parachute material. The short piece is 17 meters shorter than the long piece. Find the length of each piece.

Discover how to solve a linear equation to find the length of two pieces of parachute material, where one is 17 meters shorter than the other, and the total length is 35 meters. Ideal for students in Grades 6-8, this problem covers key algebra concepts.

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