Find the area of each figure with the vertices shown. rectangle: A(-3,4), B(5,4), C(5,-1), D(-3,

step 1 hello welcome to this lesson in this lesson we'll find the view of the of the rectangle a b c d

Find the area of each figure with the vertices shown....

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Cartesian Coordinate System

The Cartesian coordinate system is a method for defining locations in a plane using pairs of numerical coordinates. Each point, such as a vertex of a geometric figure, is described by an ordered pair (x, y), which indicates its horizontal and vertical positions relative to a fixed origin. This framework is fundamental for plotting geometric shapes and performing calculations based on positions.

Distance Calculation in the Coordinate Plane

Calculating the distance between two points in the coordinate plane involves determining the difference in their x-coordinates and y-coordinates. In cases where the side of a shape is parallel to one of the coordinate axes, this calculation simplifies to taking the absolute difference of the corresponding coordinates. This concept is crucial for determining the lengths of the sides of polygons such as rectangles.

Area Calculation for Rectangles

The area of a rectangle is found by multiplying its length by its width. When the vertices of a rectangle are given in the coordinate plane, the lengths of the sides can be determined by calculating the distances between pairs of adjacent vertices. This approach allows for the computation of the area of the rectangle using coordinate geometry.

Transcript

Please give Ace some feedback