Question

The dimensions of a solar panel are given. Fill in the blanks to determine its area. Use the partitioning method.
Width of the solar panel $=18$ units Length of the solar panel $=22$ units
$\begin{array}{ccc}& 20& \text{B}\\ \text{A}& 200& 20\\ 8& 160& 16\end{array}$

• A. $A=10,B=2,$ Area $=316\text{sq unit}$
• B. $A=10,B=2,$ Area $=396\text{sq unit}$
• C. $A=20,B=10,$ Area $=396\text{sq unit}$
• D. $A=20,B=2,$ Area $=376\text{sq unit}$

Answer 1

The correct option is B $A=10,B=2,$ Area $=396\text{sq unit}$

Length $=22$ units $=20+2$
Width $=18$ units $=10+8$
Let’s determine the area using the partitioning method.
$\begin{array}{ccc}& 20& 2\\ 10& 200& 20\\ 8& 160& 16\end{array}$
Area of the solar panel $=200+20+160+16=396\text{sq units.}$