To find the area of a rectangle, you multiply the length by the width. Here, we are given:

• Length (left side): $1 \frac{3}{5}$ cm
• Width (bottom side): $\frac{7}{10}$ cm

Step 1: Convert mixed number to improper fraction

Convert $1 \frac{3}{5}$ to an improper fraction:

$1 \frac{3}{5} = \frac{5}{5} + \frac{3}{5} = \frac{8}{5}$

Step 2: Multiply the length and width

Now multiply the length by the width:

$\text{Area} = \frac{8}{5} \times \frac{7}{10} = \frac{8 \times 7}{5 \times 10} = \frac{56}{50}$

Step 3: Simplify the fraction

Simplify $\frac{56}{50}$ by dividing both the numerator and the denominator by 2:

$\frac{56}{50} = \frac{28}{25}$

Thus, the area of the rectangle is $\frac{28}{25}$ cm².

Final Answer:

The area is $\frac{28}{25}$ cm².

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Would you like a further explanation on any step or have any other questions?

Here are some related questions you can explore:

1. How do you convert mixed numbers into improper fractions?
2. What are the units of area in different measurement systems?
3. How do you multiply fractions?
4. How do you simplify fractions to their lowest terms?
5. How do you calculate the perimeter of a rectangle?

Tip: Always convert mixed numbers into improper fractions before performing arithmetic operations, as it simplifies the calculation process!