Final answer:
The area of the rectangular field is 9.5 x 10^6 square feet. The area of any rectangle is calculated, once its length and width are known. By multiplying length and breadth, the rectangle's area will obtain in a square-unit dimension.
Step-by-step explanation:
To find the area of the rectangular field, we need to multiply the length and width. The length of the rectangle is 2.7 x 10^3 feet, and the width is 3.5 x 10^3 feet. Multiplying these values gives us a product of 9.45 x 10^6 square feet.
To express the final answer in scientific notation with the correct number of significant digits, we look at the original measurements and find the lowest number of significant digits. Both measurements have 2 significant digits. Therefore, the final answer will also have 2 significant digits. Converting 9.45 x 10^6 square feet to scientific notation with 2 significant digits gives us 9.5 x 10^6 square feet.
To calculate the area of the rectangular field with dimensions 2.7 × 10³ feet by 3.5 × 10³ feet, we multiply the length by the width:
Area = (2.7 × 10³ feet) × (3.5 × 10³ feet)
Using the properties of exponents:
Area = (2.7 × 3.5) × (10³ × 10³)
Area = 9.45 × 10¶ square fee
However, we need to express our final answer in scientific notation with the correct number of significant digits. Since both of the given measurements have two significant digits, our final answer should also have two significant digits:
Area ≈ 9.4 × 10¶ square feet