# The area of a parallelogram is 24 centimeters and the base of the parallelogram is 6 centimeters. What is the height of the parallelogram?

May 1, 2018

4 centimetres.

#### Explanation:

Area of a parallelogram is $b a s e \times h e i g h t$
$24 c {m}^{2} = \left(6 \times h e i g h t\right)$
$\implies \frac{24}{6} = h e i g h t = 4 c m$

May 1, 2018

$h = 4$

#### Explanation:

Area of a parallelogram can be calculated by using the formulae :

$A = b h$ ,

where $A$ = Area, $b$ = Base Length and $h$ = Height

Therefore, by using the given information,

$24$ $=$ $6 h$

$h = 4 c m$

May 1, 2018

$h = 4 \setminus \text{cm}$

#### Explanation:

The area is always given by squared units and never by single units!

The area of a parallelogram is given by the equation:

$A = b h$

• $b$ is the base length of the parallelogram

• $h$ is the height of the parallelogram

And so, plugging in our given values, we get:

$24 \setminus \text{cm"^2=6 \ "cm} \cdot h$

$h = \left(24 \textcolor{red}{\cancel{\textcolor{b l a c k}{\text{cm"^2)/(6color(red)cancelcolor(black)"cm}}}}\right)$

$= 4 \setminus \text{cm}$