Respuesta :

Answer:

[tex]52[/tex] square units

Step-by-step explanation:

The formula for the area of a rectangle is  [tex]A=lw[/tex]  where [tex]l[/tex] stands for the length and [tex]w[/tex] stands for the width.

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First, let's find the area of the outside rectangle.

The width of the outside rectangle is 6 units and the length is 11 units.

So,

[tex]A=6(11)[/tex]

[tex]A=66[/tex] square units

This is the area of the yellow rectangle.

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Now, let's find the area of the red rectangle.

The width of the red rectangle is 2 units and the length is 7 units.

So,

[tex]A=2(7)[/tex]

[tex]A=14[/tex] square units

This is the area of the red rectangle.

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Now, to find the answer, we must subtract the area of the outside rectangle by the area of the red rectangle to find the area shaded in yellow.

[tex]66-14=[/tex]

[tex]=52[/tex] square units

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Hope this is helpful