To find the area of the portion of the field that has crops growing, we need to find half of the total area of the field.
Part A)
The total area of the field is given by the product of the length and width of the rectangle.
Area = length x width = (2.5 x 10^3 ft) x (3.3 x 10^3 ft)
To find half of the area, we divide the total area by 2.
Half Area = (2.5 x 10^3 ft x 3.3 x 10^3 ft) / 2
Using the laws of exponents, we can simplify the expression:
Half Area = (2.5 x 3.3) x (10^3 ft x 10^3 ft) / 2
= 8.25 x 10^6 ft^2 / 2
= 4.125 x 10^6 ft^2
Part B)
The final answer in scientific notation with the correct number of significant digits is 4.125 x 10^6 ft^2.
Part C)
I chose the number of significant digits in the final answer to match the number of significant digits given in the measurements provided (2.5 and 3.3). Since both measurements have 2 significant digits, the final answer is rounded to 3 significant digits to maintain consistency.
A farmer is planning how to use the land in a rectangular field. The rectangle shown represents the field.
a rectangle with the bottom labeled 2.5 times 10 cubed feet and the right side labeled 3.3 times 10 cubed feet
Part A) If half of the field is used to grow crops, what is the area of the portion of the field that has crops growing? Show every step of your work.
Part B) Write the final answer in scientific notation with the correct number of significant digits, and label it with the correct units.
Part C) Explain how you chose the number of significant digits in the final answer.
1 answer