Key Concepts:
- Rectangle/Square Area: (A = l \times w) for rectangles, and (A = s^2) for squares.
- Triangle Area: (A = \frac{1}{2} \times b \times h).
- Circle Area: (A = \pi r^2).
- Distance Formula: The length of a line segment between two points ((x_1, y_1)) and ((x_2, y_2)) is given by (d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}).
Skills Covered:
- Calculating the area of a 2D shape with necessary parameters given.
- Using the area to find the parameters of a shape.
- Determining the area of a square/circle when given its perimeter.
- Calculating the length of a segment given its endpoints.
Example Problems:
- What is the area, in square feet, of a triangle with a base of 7 feet and a height of 2 feet?
- What is the side length, in feet, of a square whose area is 81 square feet?
- A circle has a perimeter of (16\pi). What is the area of the circle?
- Three points have coordinates (A (3, -2)), (B (0, -2)), (C (-2, 3)). Find the area of triangle ABC.