Question

All of my points!! :(

Use the Pythagorean Theorem to find the area of Field C in acres:
Area =

Answer 1

1. Area = 16 acres

2. Area = 9 acres

3. Area = 25 acres

Explanation:

In the given diagram, one square represents one acre.

`\hrulefill`

Question 1

There are 16 squares inside Field A because Field A is a square with side lengths measuring 4 units each. Let "a" represent the side length of Field A. Therefore, the area of Field A can be expressed as:

a² = 16 acres

`\hrulefill`

Question 2

There are 9 squares inside Field B because Field B is a square with side lengths measuring 3 units each. Let "b" represent the side length of Field B. Therefore, the area of Field B can be expressed as:

b² = 9 acres

`\hrulefill`

Question 3

To determine the area of Field C, we can apply the Pythagorean Theorem, which states that the square of the hypotenuse (the longest side of a right triangle) is equal to the sum of the squares of the legs of a right triangle.

If "c" represents the side length of Field C, then c² is the area of Field C. Therefore, according to the Pythagorean Theorem:

c² = a² + b²

where:

• a² is the area of Field A.
• b² is the area of Field B.
• c² is the area of Field C.

By substituting the previously determined areas of Field A and Field B, we get:

Area of Field C = 16 acres + 9 acres

Area of Field C = 25 acres

Therefore, the area of Field C is 25 acres.