To find the area of Field C, we need to use the Pythagorean Theorem.
Field A and Field B are two sides of a right triangle, and we need to find the length of the hypotenuse (Field C).
Let's assume the length of Field A is x acres and the length of Field B is y acres.
Using the Pythagorean Theorem, we have:
Field C^2 = Field A^2 + Field B^2
Field C^2 = x^2 + y^2
Now, substitute the values of Field A and Field B that you counted:
Field C^2 = (Area of Field A)^2 + (Area of Field B)^2
Field C^2 = (x acres)^2 + (y acres)^2
Finally, calculate the square root of Field C^2 to find the area of Field C in acres:
Field C = √(x^2 + y^2)
Write this calculation on your worksheet to find the size of Field C.
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.
Count the number of squares inside Field A. This is the area of Field A in acres. Write it on your worksheet.
Count the number of squares inside Field B. This is the area of Field B in acres. Write it on your worksheet.
Use the Pythagorean Theorem to find the area of Field C in acres.
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