Farmers need to know the area of their land in order to plan for growing their crops.

Farmers measure the size of their fields in acres. One acre is equal to 4,840 square yards. In the diagram on the worksheet, each of the squares in the grid represents one acre. Count the number of acres inside Fields A and B to find their measure, and then use that information to find the size of Field C.

1. Count the number of squares inside Field A. This is the area of Field A in acres.Write it on your worksheet.

2. Count the number of squares inside Field B. This is the area of Field B in acres.Write it on your worksheet.

3. Use the Pythagorean Theorem to find the area of Field C in acres.

1 answer

To find the area of Field C, we need to use the Pythagorean Theorem. Let's assume that the length of Field C is x acres and the width is also x acres.
According to the Pythagorean theorem, the square of the hypotenuse (Field C) is equal to the sum of the squares of the other two sides (Field A and Field B).
Therefore, x^2 = Field A + Field B.

Now we need to substitute the values of Field A and Field B:

x^2 = (number of squares inside Field A) + (number of squares inside Field B)

To find the area of Field C in acres, we need to take the square root of x^2:

Area of Field C = √x^2.

4. Calculate the value of x using the information from Field A and Field B.

5. Substitute the value of x into the formula for the area of Field C:

Area of Field C = √(x^2).

6. Simplify the equation and calculate the exact area of Field C in acres.

Note: The number of squares inside Field A and Field B will vary based on the given information or diagram.
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