**Answer:**

Please check the explanation.

**Step-by-step explanation:**

**BLUE PENTAGON**

The blue shape represents the Pentagon

The length of the side a = 7

As there are 5 sides.

Thus,

The **Perimeter of the Blue Pentagon** = P = 5a = 5(7) = 35

Using the formula to determine the area of the Pentagon

Thus,

The **Area of the Blue Pentagon** =

**RED PENTAGON**

The red shape represents the Pentagon

The length of the side a = 4

As there are 5 sides.

Thus,

The **Perimeter of the Red Pentagon** = P = 5a = 5(4) = 20

Using the formula to determine the area of the Pentagon

The **Area of the Red Pentagon** =

<u><em>Conclusion:</em></u>

The **Perimeter of the Blue Pentagon** = 35

The **Perimeter of the Red Pentagon** = 20

Thus, the<u><em>** ratio of the perimeter**</em></u> is: 35/20 = 7/4

The **Area of the Blue Pentagon** = 84.3 = 843/10

The **Area of the Red Pentagon** = 27.5 = 275/10

Thus, the<u><em>** ratio of the Area**</em></u> is: