find the area of the figure below, composed of a rectangle and one semicircle, with another semicircle…

find the area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed. round to the nearest tenths place.

find the area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed. round to the nearest tenths place.

Answer

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is (A = l\times w). Here, the length (l = 12) and the width (w=8). So, (A_{rectangle}=12\times8 = 96).

Step2: Analyze the semicircles

The two semicircles (one added and one removed) have the same diameter (d = 8), so the radius (r=\frac{d}{2}=4). The area of a full - circle is (A=\pi r^{2}). The area of the added semicircle and the removed semicircle cancel each other out ((A_{semicircle\ added}-A_{semicircle\ removed}=0) since they have the same radius).

Answer:

(96.0)