Answer:
[10 ft.]
Step-by-step explanation:
It's being given that there is a paralleolgram.
Let the length of its base is x ft.
Therefore, length of height = (x+6) ft.
Also, area of paralleolgram = 160 sq.
ft.
Now, we know that,
Area of paralleolgram = base x height
Therefore, we will get,
=> x(x+6) = 160
=> x² + 6x - 160 = 0
=> x² + 16x - 10x - 160 = 0
=> x(x+16) - 10(x+16)=0
=> (x+16) (x - 10) = 0
=> x +16=0 or X- - 10-0
=> x=-16
or
X = 10
But, we know that, length can't ever be negative.
Therefore, x = 10
Hence, length of base = 10 ft.
