Final answer:
To calculate the rectangle's area, convert the mixed numbers to improper fractions, convert meters to centimeters, and then multiply the length and width. The area is 1870 cm².
Step-by-step explanation:
To calculate the area of a rectangle with a length of 3(2/5)m and width of 1(1/10)m, first convert these mixed numbers into improper fractions. The length 3(2/5)m becomes 17/5 m and the width 1(1/10)m becomes 11/10 m. Next, convert meters to centimeters by multiplying by 100 (since 1m = 100cm), giving us 170/5 cm for the length and 110/10 cm for the width.
Now, multiply the length and width to find the area in square centimeters:
Area = (170/5 cm) × (110/10 cm) = 170 × 11 cm² = 1870 cm².
Therefore, the area of the rectangle is 1870 cm².