Explain how to use a coordinate plane to find the area of a rectangle with vertices (–4, 9), (–4, –3), (–1, –3), and
(–1, 9). What is the area?
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- [X1,Y1]=[-4,9]
- [X2,Y2]=[-4,-3]
- [X3,Y3]=[-1,-3]
- [X4,Y4]=[-1,9]
- AREA IN A COORDINATE PLANE=IN A MATRIX WAY X1-X3 X2-X4
- Y1-Y3 Y2-Y4
THEREFORE -4-[-1] -4-[-1]
9-[-3] -3-[9]
IN MATRIX WAY FIND DETERMINANT AD-BC
3*-12-[12*-3]*1/2
-36+36*1/2=0
ACTUALLY FOR FINDING DETERMINANT OF MATRIX AD-BC
BUT FOR FINDING AREA OF A QUADRILATERAL AD-BC*1/2
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Answer:
[X1,Y1]=[-4,9]
[X2,Y2]=[-4,-3]
[X3,Y3]=[-1,-3]
[X4,Y4]=[-1,9]
AREA IN A COORDINATE PLANE=IN A MATRIX WAY X1-X3 X2-X4
Y1-Y3 Y2-Y4
THEREFORE -4-[-1] -4-[-1]
9-[-3] -3-[9]
IN MATRIX WAY FIND DETERMINANT AD-BC
3*-12-[12*-3]*1/2
-36+36*1/2=0
ACTUALLY FOR FINDING DETERMINANT OF MATRIX AD-BC
BUT FOR FINDING AREA OF A QUADRILATERAL AD-BC*1/2
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