Write an ordered pair for each point described. Find the area of the rectangle whose vertices ar

step 1 I want to find the area of a rectangle, and this rectangle is going to have the ordered pairs, 5

Write an ordered pair for each point described. Find the...

Key Concepts

Area Calculation of a Rectangle

The area of a rectangle is computed by multiplying its length by its width. When the rectangle is defined in a coordinate plane, these dimensions can be determined by the differences between the appropriate x-coordinates (for one pair of parallel sides) and the differences between the y-coordinates (for the other pair of sides). This concept is fundamental in both geometry and algebra.

Ordered Pair

An ordered pair is a fundamental way of representing a point in a coordinate system, comprising two numbers where the first number represents the position on the horizontal axis (x-coordinate) and the second represents the position on the vertical axis (y-coordinate). This notation is essential for describing exact locations in the plane.

Cartesian Coordinate System

The Cartesian coordinate system is a two-dimensional plane defined by two perpendicular axes, typically labeled as the x-axis and y-axis. This system allows for precise representation and analysis of geometric figures by assigning ordered pairs to points, facilitating operations such as measuring distances and plotting shapes.

Distance Calculation on the Coordinate Plane

Calculating the distance between two points in a coordinate plane often involves finding the difference between their x-coordinates and y-coordinates. For problems involving rectangles aligned with the coordinate axes, this calculation simplifies to determining the absolute differences in each coordinate, which correspond to the side lengths of the rectangle.

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