Given :
A parallelogram has sides 8 ft and 14 ft the height corresponding to the 14 ft base is 4 ft.
To Find :
The height corresponding to the 8 ft base.
Solution :
Since, both parallelogram are similar. So, ratio of the sides of parallelogram is similar in both the cases.
[tex]\dfrac{h_1}{h_2}=\dfrac{b_1}{b_2}\\\\\dfrac{8}{14}=\dfrac{h_1}{4}\\\\h_1 = \dfrac{8\times 4}{14}\\\\h_1 = 2.285 \ ft[/tex]
Therefore, the height corresponding to the 8 ft base parallelogram is 2.285 ft.