a
To find:The coordinate of point E.
a

Answer to Problem 30RP
The coordinates of point E : (9, − 3)
Explanation of Solution
Given information:
RECT is rectangle
¯CE∥y−axis¯RE∥x−axis
Formula used:
Reflection rule
Calculation :
Since, point E is the reflation of point R through negative y axis
∴ x - coordinate of point E will same as of point R but with positive sign and
also, point E is reflection of point C through positive x − axis
∴ y - coordinate of point E will same as of point C but with negative sign
Thus, Coordinates of point E is (9, − 3)
b
To find: The area of the rectangle.
b

Answer to Problem 30RP
The area of RECT is 140 units2
Explanation of Solution
Given information:
RECT is rectangle
¯CE∥y−axis¯RE∥x−axis
Formula used:
Area of rectangle = length × breadth
Calculation :
RE = √(−9−5)2+(−3+3)2=14 units
CE = √(9−9)2+(7+3)2=10 units
Now,
Area of RECT =
RE×CE=14×10=140 unit2
c
To calculate:The length of diagonal of rectangle.
c

Answer to Problem 30RP
The length of rectangle is 2√74 units
Explanation of Solution
Given information:
RECT is rectangle
¯CE∥y−axis¯RE∥x−axis
Formula used:
Distance formula
Calculation :
Distance between R and C is RC
RC =
√(−5−9)2+(−3−7)2=√196+100=√296=2√74 units=8.6 units
Chapter 9 Solutions
Geometry For Enjoyment And Challenge
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A First Course in Probability (10th Edition)
Elementary Statistics (13th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Thinking Mathematically (6th Edition)
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