1 Answer

Farktronix · Answer 1 · 2021-06-24T01:52:56+0000

Answer:
$119.43\ cm^2$

Explanation:

The area of the rectangle can be calculated with the following formula:

A_r=lw

Where "l" is the length and "w" is the width.

In this case:

$l=12\ cm\\w=11\ cm$

Then, substituting values into the formula, you get that the area of the rectangle shown in the figure is:

$A_r=(12\ cm)(11\ cm)\\\\A_r=132\ cm^2$

The formula that is used to find the area of a circle is:

$A_c=\pi r^2$

Where "r" is the radius of the circle.

In this case you know that:

$r=2\ cm$

Then, the area of the given circle is:

$A_c=\pi (2\ cm)^2\\\\A_c=12.566\ cm^2$

Subtract both areas in order to find the area of the shaded region. Rounded to the nearest hundredth, this is:

$A_s=132\ cm^2-12.566\ cm^2\\\\A_s=119.43\ cm^2$

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