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.

1 answer

To find the size of Field C, we need to find the area in acres.
Let's first count the number of squares inside Field A. From the given diagram, it seems like Field A consists of 9 squares. So, the area of Field A is 9 acres.

Next, let's count the number of squares inside Field B. From the diagram, it looks like Field B consists of 16 squares. So, the area of Field B is 16 acres.

To find the area of Field C, we need to use the Pythagorean Theorem. Let's say Field C is a square field.

Since Field C is formed by combining Field A and Field B, the area of Field C can be found by adding the areas of Field A and Field B.

Area of Field C = Area of Field A + Area of Field B
Area of Field C = 9 acres + 16 acres
Area of Field C = 25 acres

So, the area of Field C is 25 acres.
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