According to accuracy of logarithm,calculate the area of a rectangle 3.85m long and 2.37m wide.
To calculate the area of a rectangle, you simply multiply the length by the width. In this case, the length is given as 3.85m and the width is given as 2.37m.
Area = Length x Width
Area = 3.85m x 2.37m
To find the accuracy, we need to determine the significant figures (decimal places) provided in the measurements.
For the length, 3.85m has the accuracy up to two decimal places.
For the width, 2.37m also has the accuracy up to two decimal places.
Therefore, the area of the rectangle, considering the accuracy, would be calculated as:
Area = 3.85m x 2.37m = 9.1245m²
Rounding the area to the appropriate significant figures (decimal places), we get:
Area ≈ 9.12m²
To calculate the area of a rectangle, you need to multiply its length by its width. In this case, the length is 3.85m and the width is 2.37m.
To perform the calculation, you can use a calculator or a mathematical software. However, since the question mentions the "accuracy of logarithm," I assume you are referring to using logarithms to determine the accuracy of the answer.
To calculate the area using logarithms, you can follow these steps:
Step 1: Take the logarithm of the length and width separately.
- Logarithm of length: log(3.85)
- Logarithm of width: log(2.37)
Step 2: Add the logarithms together.
- log(3.85) + log(2.37)
Step 3: Find the antilogarithm (exponentiate) to obtain the product of the logarithms.
- antilog(log(3.85) + log(2.37))
Step 4: Round the result to the desired degree of accuracy based on the given logarithm accuracy.
Note: The accuracy of the logarithm is not mentioned in the question, so you will need to determine the desired level of precision or accuracy yourself.
Once you have determined the desired accuracy, you can round the result of Step 4 to that accuracy level to obtain the final answer for the area of the rectangle.
To calculate the area of a rectangle, you multiply its length by its width.
In this case, the length is given as 3.85m and the width is given as 2.37m.
So, to find the area of the rectangle, you can use the formula:
Area = Length x Width
Area = 3.85m x 2.37m
Using a calculator, we can multiply these numbers to get the area:
Area ≈ 9.1445 square meters
Therefore, the area of the rectangle is approximately 9.1445 square meters.