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 20E
Solution
Find the perimeter and area of the figure determined by the points.
Perimeter = 16
Area = 16
Given information:
The given points are (-2,-2), (-2, 2) (2, 2) (2,-2)
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(-2,-2), B(-2, 2) C(2,2) D(2,-2).
Plotting the points in the graph -
Perimeter of enclosed figure ABCD is = AB+BC+CD+DA
Using distance formula −
A(-2,-2), B(-2, 2)
AB = CD
So CD =4
B(-2, 2) C(2,2)
BC=DA
So DA=4
Perimeter of enclosed figure ABCD-
Area of enclosed figure ABCD is −
As AB=BC=CD=DA
So ABCD is a square
Area of square ABCD =
Chapter P Solutions
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
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