The area in square units of the region enclosed by parallelogram ABCD is
(A) 6 (B) 8 (C) 12 (D) 15 (E) 18

The area of the parallelogram ABCD is (B) 8.

Step-by-step explanation:

Step 1:

The area of a parallelogram is given by multiplying the base length of the parallelogram with the height of the parallelogram.

So we need to determine the base length and the height of the given shape.

The base length is given by determining the difference in x values and the height is calculated by determining the difference in y values.

Step 2:

The base length is determined by the difference in x values of points B and C.

The base length of the parallelogram units.

The height is determined by the difference in y values of points C and D.

The height of the parallelogram units.

The area of the parallelogram square units.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3