Find the area of the parallelogram in the figure below. Round your final answer to the nearest tenth. 16.8
D
23.2
23.2
12.4
B

Area = 546.8

Step-by-step explanation:

We can calculate the area like for a rectangle since if we take the one triangle and pop it on top, the shape becomes a rectangle, so:

Find side of triangle:

A^2 = b^2+c^2 -2acCos(a)

A^2 = 436

A= 20.9

Height : 23.2+20.9

Height: 44.1

Width: 12.4

Area = w * h

Area = 546.8

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