The total area of the composite figure is x² + 5x - 2
Calculating the area of the figure
From the question, we have the following parameters that can be used in our computation:
The composite figure
The total area of the composite figure is the sum of the individual shapes
Where, we have the following shapes and dimensions:
- Rectangle: x - 1 by x + 6 - 4
- Rectangle: x by 4
Using the area formulas (Length * Width for Rectangles), we have the following:
- Rectangle 1: (x - 1) * (x + 2) = x² + 2x - x - 2 = x² + x - 2
- Rectangle 2: x * 4 = 4x
Add up the individual areas
Area = x² + x - 2 + 4x
Evaluate the expression
Area = x² + 5x - 2
Hence. the total area of the figure is x² + 5x - 2