1. Count the number of squares inside Field A. This is the area of Square A in acres. Write it below: (1 point)
Area = ____16______ acres
2. Count the number of squares inside Field B. This is the area of Square B in acres. Write it below: (1 point)
Area = ____9______ acres
3. SHOW YOUR WORK: Use the Pythagorean Theorem to find the area of Field C in acres:
To find the area of Field C using the Pythagorean Theorem, we need to find the length of the sides of the field.
Let's assume that the length of one side is x acres.
According to the Pythagorean Theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
So, we have:
x^2 + x^2 = 10^2 acres.
2x^2 = 100 acres.
x^2 = 50 acres.
Therefore, the length of one side of Field C is sqrt(50) acres.
To find the area of Field C, we square the length:
Area = (sqrt(50))^2 acres.
Area = 50 acres.