Question

The dimensions of two different solar panels are given. Which of them is larger in size?

• A. Panel A
• B. Both panels are of the same size
• C. Panel B
• D. Cannot be determined

Answer 1

The correct option is A Panel A

First, we find the area of panel A:
$\bullet$ Length $=49=40+9$
$\bullet$ Width $=51=50+1$
Let’s determine the area using the partitioning method.

$\begin{array}{ccc}& 40& 9\\ 50& 2000& 450\\ 1& 40& 9\end{array}$

Area of solar panel A = 2000 + 450 + 40 + 9 = 2,499 sq units

Let’s find the area of panel B:
$\bullet$ Length $=21=20+1$
$\bullet$ Width $=53=50+3$
Let’s determine the area using the partitioning method.

$\begin{array}{ccc}& 20& 1\\ 50& 1000& 50\\ 3& 60& 3\end{array}$

Area of solar panel B $=1,000+50+60+3=1,113\text{sq units.}$

2,499 sq units > 1,113 sq units
Thus, size of panel A > size of panel B.