(4, 7)
(- 4, 4)
(0, - 4)
Field C
(7, 3)
Field A
(0, 0)
- (- 4, 0)
(3, 0)
(3, - 3)
Field B
acre =
(0, - 3)
4, 840sqyards
1. Count the number of squares inside Field A. This is the area of Square A in acres. Write it below:
Area =\
acres
2. Count the number of squares inside Field B. This is the area of Square B in acres. Write it below:
Area =\ acres
3. Use the Pythagorean Theorem to find the area of Field C in acres:
Area =\
acres
To find the area of Field A, we count the number of squares inside it. From the given points, we can see that there are 4 columns and 7 rows inside Field A. Therefore, the area of Field A in acres is 4 * 7 = 28 acres.
Area = 28 acres
To find the area of Field B, we count the number of squares inside it. From the given points, we can see that there are 4 columns and 4 rows inside Field B. Therefore, the area of Field B in acres is 4 * 4 = 16 acres.
Area = 16 acres
To find the area of Field C using the Pythagorean Theorem, we need to find the lengths of the two sides of the right triangle formed by the given points (7, 3) and (0, 0). The length of the horizontal side is 7 - 0 = 7 and the length of the vertical side is 3 - 0 = 3. Using the Pythagorean Theorem (a^2 + b^2 = c^2), we can find the length of the hypotenuse (c).
c^2 = 7^2 + 3^2
c^2 = 49 + 9
c^2 = 58
c ≈ 7.62
The length of the hypotenuse (c) represents the diagonal of Field C. To find the area of Field C in acres, we can calculate the area of the right triangle formed by the given points and then divide by 2. The area of a right triangle is (1/2) * base * height.
Area = (1/2) * 7 * 3
Area = 10.5 acres
Therefore, the area of Field C in acres is approximately 10.5 acres.
Area = 10.5 acres.