Let's break down and solve the problems shown in the image. Here's the process step-by-step:

Part 1: Find the perimeter

The perimeter of a shape is the sum of all its side lengths.

1. Figure E (Triangle): Side lengths are $3x + 8$, $4x - 1$, and $5x + 2$.
   $\text{Perimeter} = (3x + 8) + (4x - 1) + (5x + 2)$
   Simplify: $\text{Perimeter} = 3x + 4x + 5x + 8 - 1 + 2 = 12x + 9$

2. Figure O (Triangle): Side lengths are $9x - 10$, $2x^2$, and $x^2 + 4$.
   $\text{Perimeter} = (9x - 10) + (2x^2) + (x^2 + 4)$
   Simplify: $\text{Perimeter} = 2x^2 + x^2 + 9x - 10 + 4 = 3x^2 + 9x - 6$

3. Figure I (Rectangle): Side lengths are $2x - 3$ and $4x - 7$.
   The perimeter of a rectangle is: $\text{Perimeter} = 2 \times \left((2x - 3) + (4x - 7)\right)$
   Simplify: $\text{Perimeter} = 2 \times (2x + 4x - 3 - 7) = 2 \times (6x - 10) = 12x - 20$

Part 3: Find the area

1. Figure E (Rectangle): Dimensions are $3x$ and $8x - 5$.
   The area of a rectangle is: $\text{Area} = \text{length} \times \text{width}$ Substitute: $\text{Area} = 3x \times (8x - 5) = 24x^2 - 15x$

2. Figure S (Rectangle): Dimensions are $2x^2$ and $x^2 + 7x + 4$.
   The area is: $\text{Area} = \text{length} \times \text{width}$