Question

The area of a parallelogram is $98{cm}^2$. If one altitude is half the corresponding base, determine the base and the altitude of the parallelogram.

Answer 1

Given

Area of a parallelogram $=98{cm}^2$

Let's consider the base as $x$ cm

Then altitude $=\frac{x}{2}cm$

So, Area $=$ base $\times$ altitude

$\Rightarrow 98=x\times \frac{x}{2}$

$\Rightarrow x^2=98\times 2=196={\left(14\right)}^2$

$\Rightarrow x=14$

Therefore, Base $=14cm$ and Altitude $=7cm$