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1. Write a fully-simplified expression to represent the area of the

figure. Show your work!
[5]

1. Write a fully-simplified expression to represent the area of the figure. Show your-example-1
User Mozahler
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1 Answer

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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

User Krystyne
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