Find the Area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed. Round to the nearest tenths

The area is 140 units.
The semicircle on the right side can be moved to fill in the missing semicircle to make it a regular rectangle.
Meaning 14 (10) would give the correct answer.

Given:

The given figure consists of a rectangle, a semicircle and another semicircle removed from it.

The length of the rectangle = 15 unit

The width of the rectangle = 10 unit

The diameter of the semicircle = 10 unit

So, the radius of the semicircle = 5 unit

To find the formula of given fig.

Formula:

The area of the given fig is

[tex]A = A_{1} +A_{2}-A_{3}[/tex]

where,

[tex]A_{1}[/tex] be the area of the rectangle

[tex]A_{2}[/tex] be the area of the semicircle

[tex]A_{3}[/tex] be the area of the semi circle that needs to remove

Area of the rectangle [tex]A_{1} = lb[/tex], where, l be the length and b be the width

The area of the semicircle [tex]A_{2}[/tex] = [tex]\frac{1}{2}\pi r^{2}[/tex]

The area of the semicircle [tex]A_{3}[/tex] = [tex]\frac{1}{2}\pi r^{2}[/tex]

where, r be the radius.

Now,

Putting, l=15 and b = 10 we get,

[tex]A_{1} = (15)(10)[/tex] sq unit

[tex]A_{1} = 150[/tex] sq unit

Putting, r = 5 and π = 3.14 we get,

[tex]A_{2} = \frac{1}{2} (3.14)(5^{2} )[/tex] sq unit

[tex]A_{2} = 39.25[/tex] sq unit

Similarly, [tex]A_{3} = 39.25[/tex] sq unit

Therefore,

The area of the given figure = (150+39.25-39.25) sq unit

= 150 sq unit

Hence,

The area of the given figure is 150 sq unit.

step-by-step explanation:

what are the statements? and what do you mean by "216 2 1 6"?

answer: do we write it

step-by-step explanation: