To calculate the area of a rectangle, we use the formula:

$\text{Area} = \text{Length} \times \text{Height}$

Given:

• Length = $10 \frac{1}{4}$ cm
• Height = $10$ cm

We first convert the mixed number for the length to an improper fraction:

$10 \frac{1}{4} = \frac{41}{4} \, \text{cm}$

Now, apply the formula for the area:

$\text{Area} = \frac{41}{4} \times 10 = \frac{41 \times 10}{4} = \frac{410}{4} \, \text{cm}^2$

Simplify the fraction:

$\frac{410}{4} = 102 \frac{1}{2} \, \text{cm}^2$

Thus, the area is:

$102 \frac{1}{2} \, \text{cm}^2$

Would you like further details on this calculation, or do you have any other questions?

Here are 5 related questions for you:

1. How do you convert a mixed number to an improper fraction?
2. How do you simplify fractions?
3. What is the formula for the area of a rectangle?
4. Can the area of a rectangle ever be negative? Why or why not?
5. What are the units for area, and why is it measured in square units?

Tip: When multiplying a fraction by a whole number, multiply the numerator by the whole number, keeping the denominator the same.