The 72m long strip was divided into two parts so that one part is 56% shorter than the other. find the length of each part

Let's solve this step by step.

Let the lengths of the two parts be represented by \( x \) and \( y \), where \( y \) is the longer part. According to the problem, one part (shorter part) is 56% shorter than the other, so we can express the relationship as:
\[
x = y - 0.56y = 0.44y
\]
This means the shorter part \( x \) is 44% of the longer part \( y \).

The total length of the strip is 72 meters, so:
\[
x + y = 72
\]
Substitute \( x = 0.44y \) into this equation:
\[
0.44y + y = 72
\]
\[
1.44y = 72
\]
Now, solve for \( y \):
\[
y = \frac{72}{1.44} = 50 \, \text{meters}
\]
So, the longer part \( y \) is 50 meters.

Now, find \( x \) (the shorter part):
\[
x = 0.44 \times 50 = 22 \, \text{meters}
\]

### Final Answer:
- The shorter part is 22 meters.
- The longer part is 50 meters.

Would you like further details or have any questions?

Here are some related questions to explore further:
1. What if the strip were divided into three parts?
2. How would the problem change if the shorter part were 30% shorter?
3. Can you express the length of each part as a percentage of the total?
4. How would you solve it if both parts had equal lengths?
5. How does the solution change if the total length is 100 meters?

**Tip:** Always recheck your work by adding the parts to ensure they sum up to the total given length.

The 72m long strip was divided into two parts so that one part is 56% shorter than the other. Find the length of each part.

Learn how to divide a 72-meter strip into two parts where one part is 56% shorter than the other. This step-by-step solution includes key algebraic concepts, percentage calculations, and linear equations. Suitable for Grades 6-8 students.

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