Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
10th Edition
ISBN: 9780134673301
Author: Waits, Foley, Kennedy, Bock Demana
Publisher: PEARSON
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Expert Solution & Answer
Chapter P.2, Problem 21E
Solution
Find the perimeter and area of the figure determined by the points.
Perimeter =
Area = 32
Given information:
The given points are (-3,-1), (-1, 3) (7, 3) (5,-1)
Concept used:
- First, find the value for x on the x-axis.
- Next, find the y-value on the y-axis.
- The point should be plotted at the intersection of x and y.
- Finally, plot the point on your graph at the appropriate spot.
- Then join all the points to make a closed figure for calculating perimeter and area.
Calculation:
The given points are A(-3,-1), B(-1, 3) C(7, 3) D(5,-1)
Plotting the points in the graph -
Perimeter of enclosed figure ABCD is = AB+BC+CD+DA
Using distance formula −
A(-3,-1), B(-1, 3)
AB = CD
So CD =
B(-1, 3) C(7, 3)
BC=DA
So DA=8
Perimeter of enclosed figure ABCD-
Area of enclosed figure ABCD is −
As AB=CD and BC=DA
And AB || CD and BC || DA
Therefore ABCD is a parallelogram.
Area of parallelogram ABCD =
Base = AD =8
Height = 4
Chapter P Solutions
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
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Publisher:W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning
What is a Prism? | Types of Prism | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=wxDTrgnyu28;License: Standard YouTube License, CC-BY