Concept explainers
a.
To graph: A kite if
a.
Explanation of Solution
Given information:A kite having diagonals of length 12 cm and 4 cm.
Graph: When
b.
To graph: A kite for three x- values between 2 and 10 and for an x -value of 10.
b.
Explanation of Solution
Given information:A kite having diagonals of length 12 cm and 4 cm.
Graph: When
When
When
When
c.
To calculate: Perimeter of each kite.
c.
Explanation of Solution
Given information:A kite having diagonals of length 12 cm and 4 cm.
Formula used: Perimeter of kite is given by
where,
Calculation:
In kite, longer diagonal cuts the shorter one in half.
When
When
When
When
When
In tabular form,
x- value | 2 | 3 | 4 | 5 | 10 |
Perimeter of kite | 26.05cm | 25.65cm | 25.68 cm | 25.53 cm | 26.05 cm |
d.
To graph: The perimeter versus x -values.
d.
Explanation of Solution
Given information:A kite having diagonals of length 12 cm and 4 cm.
Graph:
e.
To analyze: The value of x that will minimize the perimeter of kite.
e.
Explanation of Solution
Given information:A kite having diagonals of length 12 cm and 4 cm.
From the graph, we can analyze that perimeter is minimum when
Thus, we can draw a kite which will minimize the surface the kite covers when
Hence, significance is we will get a kite of minimum perimeter having diagonals 12 cm and 4 cm.
Chapter 11 Solutions
Geometry, Student Edition
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning