Answer:
Length of BD = [tex]x^2[/tex] +6x - 40
Step-by-step explanation:
In parallelogram ABCD , diagonals AC and BD intersect at E .
In a parallelogram , the two opposite sides are parallel and equal in length.
Also opposite angles of a paralleogram are equal .
Here the length of the parts of a diagonal is given.
BE = [tex]x^{2}[/tex] - 40
DE = 6x
Since the length of whole diagonal is the sum of the lengths of the parts of the diagonal ,
Length of BD = BE + DE
= [tex]x^{2}[/tex] -40 + 6x
Length of BD = [tex]x^2[/tex] +6x - 40
