The length of a rectangular sheet is 1.5 cm and breadth is 1.203 cm. The area of the face of rectangular sheet to the correct no. of significant figures is :

The correct option is 1.8 cm².

Step-by-step Explanation:

To find the area of the rectangular sheet to the correct number of significant figures, we follow these steps:

1. Identify the given values and their significant figures:
- Length of the rectangular sheet,
$l=1.5\text{cm}$
(which has 2 significant figures).
- Breadth of the rectangular sheet,
$b=1.203\text{cm}$
(which has 4 significant figures).

2. Calculate the raw area:
The area (A) of a rectangle is given by the formula:
$A=l\times b$
Substituting the given values:
$A=1.5\text{cm}\times 1.203\text{cm}=1.8045{\text{cm}}^2$

3. Apply the rule of significant figures for multiplication:
When multiplying or dividing numbers, the final result must be rounded off to have the same number of significant figures as the measurement with the least number of significant figures.
- Here, the length (1.5 cm) has the least number of significant figures, which is 2.
- Therefore, the calculated area (1.8045 cm²) must be rounded off to 2 significant figures.

Rounding 1.8045 to 2 significant figures gives:
$A\approx 1.8{\text{cm}}^2$

Thus, the area of the face of the rectangular sheet to the correct number of significant figures is 1.8 cm².