Hey I need help with this new concept. Could someone help me out? I would prefer an explanation for one of the shapes if possible. Thanks!

Step-by-step explanation:

set the equation for the area equal to the equation of the perimeter.

Then solve for x

Figure a

area = perimeter

3x = 2(x + 3)

Distribute

3x = 2x + 6

subtract 2x from both sides

x = 6

perimeter

p = 2(x + 6)

p = 2(3 + 63)

p = 18

Area

a = 3x

a = 3*6

a = 18

Use the same method on the remaining figures

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