Respuesta :

divide the figure into 3 shapes
top square
middle trapezoid
bottom rectangle

so
Area of figure 
= (10x10) + 1/2(8 + 14)(4) + (20 x 6)
= 100 + 44 + 120
= 264

answer
264 cm^2

Answer:

The area of the composite figure is [tex]A_{total} = 264(cm)^{2}[/tex]

Step-by-step explanation:

To find the area of this composite figure you need to follow this steps:

  1. Separate the figure into simpler shapes whose area can be found.

        1.1 The first figure is a square with side 10 cm. So the area is [tex]A=(10 cm)^{2}=100(cm)^{2}[/tex]

        1.2 The second figure is a triangle with a base 6 cm and a height 4 cm. So the area is [tex]A=\frac{b*h}{2}=\frac{1*6*4}{2} =12(cm)^{2}[/tex]

        1.3 The third figure is a rectangle with length 8 cm and width 4 cm. So the area is [tex]A = l*w=8cm*4cm=32(cm)^{2}[/tex]

        1.4 The fourth figure is a rectangle with length 20 cm and width 6 cm. So the area is [tex]A = l*w=20cm*6cm=120(cm)^{2}[/tex]      

    2. Then add the areas together.

[tex]A_{total} = A_{square} +A_{triangle}+A_{rectangle} +A_{rectangle}[/tex]

[tex]A_{total} = 100(cm)^{2}+12(cm)^{2}+32(cm)^{2} +120(cm)^{2}[/tex]

[tex]A_{total} = 264(cm)^{2}[/tex]

In the following image shows how we can separate the figure into simpler shapes.

Ver imagen franciscocruz28
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