Question

Find the value of the height of the parallelogram. Given base of parallelogram is 20cm and the area of parallelogram is 246 $c{{m}^{2}}$.

Answer 1

Hint:To solve the question, we can use the equation to find the area of the parallelogram. The area of the parallelogram is the product of its base and its height. As the base and area of the parallelogram are given we can substitute the values in the equation to find the answer.

Complete step by step answer:
We are given the values of the base and area of the parallelogram. We are asked to find the height of the parallelogram. We know the equation of the area of the parallelogram. That is,
Area of the parallelogram = base x height
So, we can rewrite the equation in terms of the height of the parallelogram as,
Height of the parallelogram = $\dfrac{area}{base}$
We are given that the base = 20cm and area = 264 $c{{m}^{2}}$.
So, to get the value of the height of the parallelogram, we can directly substitute the values in the equation.
Therefore, height of the parallelogram = $\dfrac{area}{base}=\dfrac{264}{20}=13.2$
So the height of the parallelogram is 13.2cm

Note:
Here, we are given the base and area of the parallelogram, but sometimes the height and the area or the base height will be given and we will be asked to find the corresponding value of the base or the area of the parallelogram has to be found. Sometimes, we make mistakes in the equation as well take $\dfrac{1}{2}\times base\times height$ instead of $base\times height$ to find the area of the parallelogram. The area of triangle is $\dfrac{1}{2}\times base\times height$. So, don’t get confused while using the equation.