Question

Find the area of the figure. Round to the nearest tenth if necessary. Use 3.14 for .

A. 67.7 units2

B. 69.1 units2

C. 132.48 units2

D. 66.2 units2

Answer 1

D. 66.2 units2 is correct.

Explanation:

Answer 2

The Question has missing figure. The figure is in the attachment.

Answer:

The Area of the figure is
`66.2\ units^2`.

Explanation:

The given figure is composed of a rectangle and a triangle.

So ABCDE is a pentagon in which ABDE is a rectangle and BCD is atriangle.

Length of AB = 4.8

Length of AE = 9.6

Now draw a line segment from C to AE that is Point M on AE.

So, Length of AM = 9

`\therefore Height\ of\ triangle=9-4.8=4.2`

Now,

Area of rectangle =
`length* width`

`Area\ of\ rectangle = 9.6*4.8 = 46.08\ units^2`

Area of Triangle =
`(1)/(2)* base* height`

`Area\ of\ triangle =(1)/(2)*9.6* 4.2=20.16\ units^2`

Thus area of figure=Area of rectangle+Area of Triangle

Area of the figure =
`46.08+20.16=66.24\ units^2`

Round to the nearest is 66.2 sq. units.

Hence The Area of the figure is
`66.2\ units^2`.