Question

A fellow builder found the area of a solar panel but the values seem to have been wiped out. Find out the missing values and the area of the solar panel.

$\begin{array}{ccc}& 10& 3\\ \text{A}& 100& \text{C}\\ 2& \text{B}& 6\end{array}$

Answer 1

Applying the partitioning methods, we can deduce the following things:
$\text{A}\times 10=100,\text{A}3=\text{C},210=\text{B}$

Now,
$\text{A}\times 10=100$
$10\times 10=100$
On comparing, we get $A=10$

$\text{A}\times 3=\text{C}$
$10\times 3=\text{C}$
This means, $\text{C}=30$

$2\times 10=\text{B}$
This means, $\text{B}=20$

So, the final table after filling the values of A, B, and C looks like this:

$\begin{array}{ccc}& 10& 3\\ 10& 100& 30\\ 2& 20& 6\end{array}$

Area of the solar panel $=100+30+20+6=156\text{sq units}$