Find the Area of the figure below, composed of an isoceles trapezoid and one
semicircle. Rounded to the nearest tenths place

the total area is 15.6 square units

Step-by-step explanation:

hello,

you can  find the total area  dividing the shape into two known shapes

total area= area of the trapezoid +area of the semicircle

then          

step one

find the area of the isosceles trapezoid using

where

a is the smaller base

b is the bigger base

h is theheight

A is the area

let

a=2

b=5

h=4

put the values into the equation

Step two

find the area of the semicircle

the area of a circle is given by

but, we need the area of  half circle, we need divide this by 2

now the diameter of the semicircle is 2, put this value into the equation

find the total area

total area= area of the trapezoid +area of the semicircle

so, the total area is 15.6 square units

Have a good day.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!