Me! find the area of the following shape. you must show all work to receive credit.
look at the picture for the shape.

=12 sq units.

step-by-step explanation:

we shall first divide the figure into a trapezium and a triangle.

the trapezium has the vertices at ( -4,0), (-2,,0) and (1,2).

the triangle has its vertices at (-2,2), (0,4) and (2,2)

the area of a trapezium= 1/2(a+b)h

a=(1--4)=5

b=(1--2)=3

h=(2-0)=2

a=1/2×(5+3)×2

=0.5×8×2

=8 sq units

the area of a triangle= 1/2bh

b=(2--2)=4

h=(4-2)=2

a=0.5×4×2

=4 sq units.

total area= 8 sq units+4 sq units.

=12 sq units.

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.

answer are

step-by-step explanation: