Given parameters:
Equation of the line is y = - + 8
Unknown:
Slope of line parallel to this line = ?
Slope of line perpendicular = ?
Solution:
A line parallel to this line will have the same slope with it.
A line perpendicular will have the negative inverse of this slope;
Slope of line = -
Slope of line parallel to this line =
Slope of line perpendicular = negative inverse = -( -()) = 2
So, the slope of line parallel to this line is - 1/2 and that perpendicular is 2
Diagonal of the parallelogram divides the parallelogram in to two equal areas.
So area of parallelogram = 2(area of triangle)
According to the given diagram,
AB= 8, AD = 5 and BD = 11
So according to the Heron's formula,
Area of triangle =
and a, b and c are the three sides of the triangle
Area of triangle ABD =
So, area of parallelogram ABCD = 2(area of triangle ABD)
area of parallelogram ABCD = 2 (18.33)
area of parallelogram ABCD = 36.66
area of parallelogram ABCD = 36.7 sq. units
