a.
The coordinates of B and D
a.
Answer to Problem 20RP
The coordinate of B is
Explanation of Solution
Given: ABCD is a rectangle
Calculation: Here,
And point B is on y-axis with no x-axis.
So, ABCD is a rectangle then, B
Same for coordinate D
So that, D
Conclusion: Hence, the coordinate of B is
b.
Probability that selected point is in the shaded region.
b.
Answer to Problem 20RP
Probability that selected point is in the shaded region is
Explanation of Solution
Given: Point is within ABCD
Concept used: Here, we are using formula of probability which is
→
Calculation: Here, the formula is
AO =
→ AO = 5 and AD = 6
So that, area of AOED =
And, AB =
→AB = 13 and AD = 6
So, area of ABCD =
So that, here favorable outcomes are
Now, putting these values in equation
→
→
Conclusion: Hence, Probability that selected point is in the shaded region is
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Geometry For Enjoyment And Challenge
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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