Concept explainers
41
Area of parallelogram with vertices (0, 0), (1, 0), (2, 2), (3,2).
41
Answer to Problem 43E
Area of parallelogram with vertices (0, 0), (1, 0), (2, 2), (3,2) is 2 square units.
Explanation of Solution
Given:
The vertices of the parallelogram are (0, 0), (1, 0), (2, 2), (3,2).
Concept used:If (0,0), (a,b), (c,d), (a+c, b+d) are the vertices of a parallelogram then its area is given by
Calculation:
Here, a=1, b=0, c=2, d=2.
Then area of parallelogram is
Conclusion:
Area of parallelogram with vertices (0, 0), (1, 0), (2, 2), (3,2) is 2 square units.
42
Area of parallelogram with vertices (0, 0), (3, 0), (4, 1), (7,1).
42
Answer to Problem 43E
Area of parallelogram with vertices (0, 0), (3, 0), (4, 1), (7,1) is 3 square units.
Explanation of Solution
Given:
The vertices of the parallelogram are (0, 0), (3, 0), (4, 1), (7,1).
Concept used:If (0,0), (a,b), (c,d), (a+c, b+d) are the vertices of a parallelogram then its area is given by
Calculation:
Here, a=3, b=0, c=4, d=1.
Then area of parallelogram is
Conclusion:
Area of parallelogram with vertices (0, 0), (3, 0), (4, 1), (7,1) is 3 square units.
43
Area of parallelogram with vertices (0, 0), (-2, 0), (3, 5), (1,5).
43
Answer to Problem 43E
Area of parallelogram with vertices (0, 0), (-2, 0), (3, 5), (1,5) is 10 square units.
Explanation of Solution
Given:
The vertices of the parallelogram are (0, 0), (-2, 0), (3, 5), (1,5).
Concept used:If (0,0), (a,b), (c,d), (a+c, b+d) are the vertices of a parallelogram then its area is given by
Calculation:
Here, a=-2, b=0, c=3, d=5.
Then area of parallelogram is
Conclusion:
Area of parallelogram with vertices (0, 0), (-2, 0), (3, 5), (1,5) is 10 square units
44
Area of parallelogram with vertices (0, 0), (0, 8), (8, -6), (8,2).
44
Answer to Problem 43E
Area of parallelogram with vertices (0, 0), (0, 8), (8, -6), (8,2) is 64 square units.
Explanation of Solution
Given:
The vertices of the parallelogram are (0, 0), (0, 8), (8, -6), (8,2).
Concept used:If (0,0), (a,b), (c,d), (a+c, b+d) are the vertices of a parallelogram then its area is given by
Calculation:
Here, a=0, b=8, c=8, d=-6.
Then area of parallelogram is
Conclusion:
Area of parallelogram with vertices (0, 0), (0, 8), (8, -6), (8,2) is 64 square units.
Chapter 8 Solutions
EBK PRECALCULUS W/LIMITS
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