Question

In a parallelogram, the base is 8.2 cm and the height is 5.6 cm. If the dimensions are doubled, what is its new area?

Answer 1

`Area=183.68 cm^2`

Explanation:

Let `B` and `H` denote the given base and given height

`implies` Given Base`B=8.2cm` and Given Height`=H=5.6cm`

The dimension are doubled, this means the both the base and height have been doubled.

Let `B'` and `H'` denote the new base and new height.
`implies` New Base`=B'=2B` and New Height`=H'=2H`
`implies B'=2*8.2 and H'=2*5.6`
`implies B'=16.4 cm and H'=11.2 cm`

`Area=Base*Height`
`implies Area=B'*H'`
`implies Area=16.4*11.2`
`implies Area=183.68 cm^2`