The area of the shaded region is the difference between the area of the rectangle and the area of the two congruent semi-circles. Then the area of the shaded region is 49.73 square units.
What is Geometry?
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The dimension of the rectangle is 13 by 6 units.
The radius of the semi-circle is 3 units.
The area of the shaded region is the difference between the area of the rectangle and the area of the two congruent semi-circles.
[tex]\rm Shaded \ area = Area \ of \ rectangle - Area \ of \ 2 \ semi-circles \\\\Shaded \ area = 13 * 6 - 2*\dfrac{\pi * 3^2}{2}\\\\Shaded \ area = 78 - 9 \pi \\\\Shaded \ area = 78-28.274\\\\Shaded \ area = 49.73[/tex]
The area of the shaded region is 49.73 square units.
More about the geometry link is given below.
https://brainly.com/question/7558603
