What is the area of parallelogram abcd?
11 square units
13 square units
15 square units
16 square units

Option B. 13 square units

Step-by-step explanation:

Area of a parallelogram is defined by the expression

A = × (Disatance between them)

Vertices of A, B, C and D are (3, 6), (6, 5), (5, 1) and (2, 2) respectively.

Length of AB =

                      =

                      =

Since length of opposite sides of a parallelogram are equal therefore, length of CD will be same as

Now we have to find the length of perpendicular drawn on side AB from point D or distance between parallel sides AB and CD.

Expression for the length of the perpendicular will be =

Slope of line AB (m) =

                                 =

Now equation of AB will be,

y - y' = m(x - x')

y - 6 =

3y - 18 = -(x - 3)

3y + x - 18 - 3 = 0

x + 3y - 21 = 0

Length of a perpendicular from D to side AB will be

=

=

Area of parallelogram ABCD =

=

=

= 13 square units

Option B. 13 units will be the answer.

i think the answer is seven, for if i'm being useless °ω°

step-by-step explanation: