The figure shown is a rectangle with a semicircle on each end. what is the area of the figure? use 3.14 for and round your answer to the nearest tenth. a. 76.3 , b. 104.5 in^2, c. 34.8 in^2, or d. 161.0 in^2? !

Step-by-step explanation:

The figure is made up of a rectangle and two semicircles.

We find the area of the rectangle using the formula;

We find the area of one of the semicircles and multiply by 2;

The area of the semicircles

We substitute and to obtain;

The area of the figure is

To the nearest tenth we have;

The correct answer is A

A = 76.3 in^2

Step-by-step explanation:

We have a rectangle with a semicircle on each end.

We can find the area by adding the areas of each figure

The area of the rectangle is

A = l*w

The length is 8 and the width is 6

A = 8*6 = 48

If we have 2 semicircles ( 2 1/2 circles, we have 1 circle since the diameters are the same)

The area of a circle is

A = pi r^2

The diameter is 6  so the radius is 1/2 of the diameter

r = 1/2 (6) =3

A = pi * (3)^2

A = (3.14) * 9

A = 28.26

The area of the total figure is the area of the rectangle plus the area of the two semicircles ( or 1 circle since the diameters of the semicircle is the same)

A = 48+28.26

A =76.26

To the nearest tenth

A = 76.3 in^2