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6710000831
05.05.2020 •
Mathematics
On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).
What is the area of parallelogram ABCD?
13 square units
14 square units
15 square units
16 square units
Solved
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Ответ:
Area of parallelogram ABCD=13.05=13 Sq.Units
Step-by-step explanation:
Given;
A(3,6) B(6,5) C(5,1) and D(2,2)
are points for parallelogram
To Find:
Area of Parallelogram ABCD
Solution:
By using distance formula we can calculate for each length of parallelogram
But by property of parallelogram
Opposite side are parallel and equal in length
So AB|| DC i.e AB=DC
And AC|| BD i.e BD=AC
Hence I.e Dist(AB)=Dist(DC)
Now construct the ABCD parallelogram ,on graph so as to find angle made by parallelogram with plane .
(Refer the attachment)
Now
Distance of AD=Sqrt[(2-3)^2+(2-6)^2]
=Sqrt[1+16]
=4.123
Similarly for AB=Sqrt[(6-3)^2+(5-6)^2]
=Sqrt[9+1]
=3.16
ABOVE VALUES ARE SAME AS GRAPH (REFER THE ATTACHMENT)
Now ,angle made by parallelogram with plane and it is 90 degree i.e the
Now Area of parallelogram(ABCD)=a*b*sinФ
here a=4.123 units and b=3.16 units and Ф=90
Area of parallelogram=3.167*4.123*sin90
=3.167*4.123
=13.05 sq. units
Ответ:
Step-by-step explanation:
Point of intersections of the graph with x-axis are not clear.
Let these points are x = -a, -b and c
Therefore, function representing the graph will be,
f(x) = p(x + a)(x + b)(x - c)
Since, this graph crosses y-axis at (0, -6),
f(0) = p(0 + a)(0 + b)(0 - c) = -6
-pabc = -6
p =![\frac{6}{abc}](/tpl/images/1174/9065/0913f.png)
Therefore, equation of the given function will be,
f(x) =![\frac{6}{abc}(x+a)(x+b)(x-c)](/tpl/images/1174/9065/deace.png)