A rectangle has an area of 128cm². Two sides of the rectangle are 8cm each. The other two sides are equal in length. What is the length of the other sides of the rectangle?

To find the length of the other sides of the rectangle, we can use the formula for the area of a rectangle:

\[
\text{Area} = \text{length} \times \text{width}
\]

Given:
- Area = 128 cm²
- One side (width) = 8 cm

Let's denote the unknown side (length) by \( x \). According to the problem:

\[
128 = 8 \times x
\]

Now, solve for \( x \):

\[
x = \frac{128}{8} = 16 \text{ cm}
\]

So, the length of the other sides of the rectangle is **16 cm**.

Would you like more details or have any questions about this problem?

Here are 8 related questions for further practice:
1. What is the perimeter of the rectangle with the sides found?
2. If the length of the rectangle was 10 cm, what would be the width given the same area?
3. How would the area change if both dimensions were doubled?
4. Can you find the diagonal length of the rectangle using the Pythagorean theorem?
5. What would be the area if one side of the rectangle was 4 cm instead?
6. If the rectangle's width was increased by 2 cm, what would the new area be?
7. How would you express the area as a function of the width, keeping the length fixed?
8. What is the ratio of the length to the width of the rectangle?

**Tip:** When solving for an unknown in an equation, always double-check by substituting the value back into the original equation.

Learn how to find the length of the other sides of a rectangle with an area of 128 cm² and one side measuring 8 cm. Follow a step-by-step solution using the formula for the area of a rectangle. Suitable for students in Grades 6-8.

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