Question

Area of a parallelogram is $625m^2$. Find the length of sides of parallelogram if altitude corresponding two sides are $20m$ and $25m$.

Answer 1

Area of the parallelogram $\left(A\right)=625m^2$
If one side $=a$, corresponding height $=\left(h_1\right)=20m$
If second side $=b$ ,corresponding height $=\left(h_2\right)=25m$
Now, Area of parallelogram $=625m^2$
$\Rightarrow$ Base $\times$ corresponding side $=625$
$\Rightarrow a\times h_1=625$
$\Rightarrow a\times 20=625$
$\Rightarrow a=\frac{625}{20}$
$\Rightarrow a=31.25m$

Also,
$\Rightarrow b\times h_2=625$
$\Rightarrow b\times 25=625$
$\Rightarrow b=\frac{625}{25}$
$\Rightarrow b=25m$
Lengths of two sides are $a=31.25m$ and $b=25m$