Find the perimeter and area of the parallelogram abcd. show all work

Since, this is parallelogram

so, opposite sides are equal

We will find value of sides

Calculation of AB:

we are given point A=(-2,3)

point B=(4,0)

we can use distance formula

now, we can plug values

Since, this is parallelogram

so, opposite sides are equal

so,

Calculation of AD:

point A =(-2,3)

point D=(-5,2)

we can use distance formula

now, we can plug values

Since, this is parallelogram

so, opposite sides are equal

so,

Calculation of AE:

point A=(-2,3)

point E=(-3,1)

we can use distance formula

now, we can plug values

(a)

we know that

perimeter of a parallelogram is sum of all sides

so,

perimeter is

now, we can plug values

...........Answer

(b)

we can use area of parallelogram formula

we can plug values

............Answer

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get