Question

What is the value of h?

Answer 1

`\large\boxed{h=5.488\ in}`

Explanation:

The formula of an area of a parallelogram:

`A=bh`

b - base

h - height

We have:

base₁ = 9.8 in

base₂ = 10 in

height₁ = 5.6 in

height₂ = h

The area of a parallelogram:

`A=b_1h_1` and
`A=b_2h_2`

Therefore we have the equation:

`b_2h_2=b_1h_1`

Substitute:

`10h=(9.8)(5.6)`

`10h=54.88` divide both sides by 10

`h=5.488\ in`