The area of the composite rectangle expressed as the sum of the areas of the smaller component rectangles that form the figure can be presented as follows;
Area of the figure = 2·A² + 10·x + 8
The steps by which the area of the figure can be obtained is presented as follows;
The area of the rectangular figure is the sum of the areas of the smaller rectangles that make up the figure
The area of the figure, A, is therefore;
A = x + x + x + x + x + x + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + x² + x² + x + x + x + x
Collecting like terms, we get;
A = x + x + x + x + x + x + x + x + x + x + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + x² + x²
A = 10·x + 8 + 2·x²
A = 2·x² + 10·x + 8
Area of the figure is; A = 2·x² + 10·x + 8