Question

Find the area of the parallelogram with a base of $200\,cm$ and height $2.5\,cm$.
A. $500\,c{m^2}$
B. $510\,c{m^2}$
C. $520\,c{m^2}$
D. $300\,c{m^2}$

Answer 1

Hint: As we know, a parallelogram is a type of a quadrilateral. In parallelogram the two opposite are always parallel to each other and with equal measures.The parallelogram is a two dimensional figure, Therefore the area of the parallelogram is base $ \times $height. Now by comparing the above question we will find the answer.

Complete step by step answer:
Let us draw the diagram first according to the question:

In the above figure we have ABCD is a parallelogram and DE is the height.
We have base $BC = 200\,cm$ and height $DE = 2.5\,cm$.
By comparing from the above question we have base$ = 200\,cm$ and height $ = 2.5\,cm$.
Now the area of the parallelogram is base$ \times $height i.e.$A = BC \times DE$.
So by putting values we can write $Area = 200 \times 2.5 = 500\,c{m^2}$.

Hence the correct option is A.

Note: We should note that the formula of the perimeter of the parallelogram is $2(l + b)$, where $l$ is the length of the parallelogram and $b$ is the base of the parallelogram. We should know that all parallelograms are quadrilateral but all quadrilaterals are not parallelograms. We know that parallelogram is a two dimensional shape so its volume cannot be determined.