Question

A parallelogram has sides 8 ft and 14 ft the height corresponding to the 14 ft base is 4 ft what is the height corresponding to the 8 ft base

Answer 1

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.

`(h_1)/(h_2)=(b_1)/(b_2)\\\\(8)/(14)=(h_1)/(4)\\\\h_1 = (8* 4)/(14)\\\\h_1 = 2.285 \ ft`

Therefore, the height corresponding to the 8 ft base parallelogram is 2.285 ft.