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Helena finds the area of irregular figures by using figures that she is familiar with
1. Helena wants to change the figure shown into two or more figures so she can
more easily find the area. Draw a line or lines to show what she could do. Then
write an expression for the area of each smaller figure. Write an expression for
the total area of the figure. Explain.

Helena finds the area of irregular figures by using figures that she is familiar with 1 Helena wants to change the figure shown into two or more figures so she class=

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lhannearaujo

The expressions for each area are:  28x²-35x ( rectangle ), 9x² ( square ) and 37x²-35x ( total area )

Area of Compound Shapes

This exercise requires your knowledge about the area of compound shapes. For solving this, you should:

  •    Identify the basic shapes;
  •    Calculate your individual areas;
  •    Sum each area found.

  • STEP 1 - Identify the basic shapes.

The figure is composed of a square and a rectangle. See the attached image.

Therefore, you should sum the area of these geometric figures for determining the area of the irregular figure.

  • STEP 2 - Find the area of the rectangle.

Area of the rectangle = bh . The figure shows that the sides for this rectangle are equal to 4x-5 and (4x+3x). Then,

b= length of the base= 4x-5

h=height=4x+3x=7x

Thus,  A_rectangle=bh= (4x-5)*7x=28x²-35x

  • STEP 3 - Find the area of the square.

Area of the square= l². The figure shows that the sides for this square are equal to 3x

    l= length of the side= 3x

Thus,  A_square=l²= (3x)² =9x²

  • STEP 4 - Find an expression for the total area of the figure.

A_total= A_rectangle+A_square

A_total= 28x²-35x+9x²

A_total= 37x²-35x

Learn more about the area of compound shapes here:

https://brainly.com/question/15884960

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