Answer:
[tex]\large\boxed{h=5.488\ in}[/tex]
Step-by-step explanation:
The formula of an area of a parallelogram:
[tex]A=bh[/tex]
b - base
h - height
We have:
base₁ = 9.8 in
base₂ = 10 in
height₁ = 5.6 in
height₂ = h
The area of a parallelogram:
[tex]A=b_1h_1[/tex] and [tex]A=b_2h_2[/tex]
Therefore we have the equation:
[tex]b_2h_2=b_1h_1[/tex]
Substitute:
[tex]10h=(9.8)(5.6)[/tex]
[tex]10h=54.88[/tex] divide both sides by 10
[tex]h=5.488\ in[/tex]
