What is the perimeter of the parallelogram?

ABE is a 30 60 90 triangle

Ratio of short leg:long leg :hypo = a: a√2: 2a

Given short leg AE = 2 so hypo AB = 2*2 = 4

In Parallelogram, opposite sides are equal

so

AB = CD = 4

AC = AE + EC = 2 + 9 = 11

BD = AC = 11

Perimeter = 4 + 4 + 11 + 11 = 30

Answer

Perimeter is 30 units

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6