Worksheet for calculating the area of rectilinear figures with various shapes and dimensions.

To find the area of these rectilinear figures (shapes made of rectangles), we can split each shape into two smaller rectangles. Then, we calculate the area of each small rectangle and add them together.

Here is the step-by-step solution for each problem:

1)
* Split the shape vertically.
* Left rectangle: $6 \text{ in} \times 6 \text{ in} = 36 \text{ sq in}$
* Right rectangle: The total width is $14$, so this part is $14 - 6 = 8 \text{ in}$ wide. Height is $12 \text{ in}$. Area: $8 \times 12 = 96 \text{ sq in}$
* Total Area: $36 + 96 = 132$

2)
* Split the shape horizontally at the bottom of the top block.
* Bottom rectangle: $11 \text{ yd} \times (15 - 8) \text{ yd} = 11 \times 7 = 77 \text{ sq yd}$
* Top rectangle: Width is $11 - 8 = 3 \text{ yd}$. Height is $8 \text{ yd}$. Area: $3 \times 8 = 24 \text{ sq yd}$
* Total Area: $77 + 24 = 101$

3)
* Split the shape vertically.
* Left rectangle: $5 \text{ ft} \times (20 + 17) \text{ ft} = 5 \times 37 = 185 \text{ sq ft}$
* Right rectangle: Width is $45 - 5 = 40 \text{ ft}$. Height is $17 \text{ ft}$. Area: $40 \times 17 = 680 \text{ sq ft}$
* Total Area: $185 + 680 = 865$

4)
* Split the shape vertically.
* Left rectangle: $20 \text{ yd} \times 21 \text{ yd} = 420 \text{ sq yd}$
* Right rectangle: Width is $29 - 20 = 9 \text{ yd}$. Height is $29 \text{ yd}$. Area: $9 \times 29 = 261 \text{ sq yd}$
* Total Area: $420 + 261 = 681$

5)
* Split the shape vertically.
* Left rectangle: $4 \text{ in} \times 6 \text{ in} = 24 \text{ sq in}$
* Right rectangle: Width is $5 - 4 = 1 \text{ in}$. Height is $3 \text{ in}$. Area: $1 \times 3 = 3 \text{ sq in}$
* Total Area: $24 + 3 = 27$

6)
* Split the shape horizontally.
* Top rectangle: $26 \text{ ft} \times 11 \text{ ft} = 286 \text{ sq ft}$
* Bottom rectangle: Width is $21 \text{ ft}$. Height is $17 - 11 = 6 \text{ ft}$. Area: $21 \times 6 = 126 \text{ sq ft}$
* Total Area: $286 + 126 = 412$

7)
* Split the shape vertically.
* Left rectangle: $2 \text{ ft} \times 8 \text{ ft} = 16 \text{ sq ft}$
* Right rectangle: Width is $13 - 2 = 11 \text{ ft}$. Height is $14 \text{ ft}$. Area: $11 \times 14 = 154 \text{ sq ft}$
* Total Area: $16 + 154 = 170$

8)
* Split the shape vertically.
* Left rectangle: $3 \text{ yd} \times (3 + 7) \text{ yd} = 3 \times 10 = 30 \text{ sq yd}$
* Right rectangle: Width is $7 - 3 = 4 \text{ yd}$. Height is $7 \text{ yd}$. Area: $4 \times 7 = 28 \text{ sq yd}$
* Total Area: $30 + 28 = 58$

9)
* Split the shape vertically.
* Left rectangle: $15 \text{ m} \times 13 \text{ m} = 195 \text{ sq m}$
* Right rectangle: Width is $2 \text{ m}$. Height is $13 - 5 = 8 \text{ m}$. Area: $2 \times 8 = 16 \text{ sq m}$
* Total Area: $195 + 16 = 211$

Final Answer:
1) 132 sq in
2) 101 sq yd
3) 865 sq ft
4) 681 sq yd
5) 27 sq in
6) 412 sq ft
7) 170 sq ft
8) 58 sq yd
9) 211 sq m