To calculate: The area of the rectangle with vertices
Answer to Problem 19E
The area of the rectangle is
Explanation of Solution
Given information:
The vertices of rectangle
Formula used:
Distance
Area of rectangle is
Calculation:
Consider the vertices of rectangle
Toplot the points
Construct a Cartesian plane with vertical axis as y-axis and horizontal axis as x-axis.
Marks the numbers on both the axes.
Plot the points
And join them to form a rectangle.
Recall that area of rectangle is
Evaluate the length and breadth of the rectangle obtained above.
Recall that the distance
Evaluate the distance between
Evaluate the distance between
Therefore, length is 6 and breadth is 4 units.
Now, area of rectangle is,
Thus, the area of the rectangle is
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning