Math worksheet for calculating area and perimeter of geometric shapes.

Let's solve each problem step by step.

---

1) Calculate the Area and Perimeter

#### Given:
- Square with side length \( 5 \, \text{m} \)

#### Solution:
- Area of a square: \( \text{Area} = \text{side}^2 \)
\[
\text{Area} = 5^2 = 25 \, \text{m}^2
\]

- Perimeter of a square: \( \text{Perimeter} = 4 \times \text{side} \)
\[
\text{Perimeter} = 4 \times 5 = 20 \, \text{m}
\]

#### Final Answer:
\[
\boxed{25 \, \text{m}^2, 20 \, \text{m}}
\]

---

2) Calculate the Area and Perimeter

#### Given:
- Rectangle with length \( 12 \, \text{ft} \) and width \( 7 \, \text{ft} \)

#### Solution:
- Area of a rectangle: \( \text{Area} = \text{length} \times \text{width} \)
\[
\text{Area} = 12 \times 7 = 84 \, \text{ft}^2
\]

- Perimeter of a rectangle: \( \text{Perimeter} = 2 \times (\text{length} + \text{width}) \)
\[
\text{Perimeter} = 2 \times (12 + 7) = 2 \times 19 = 38 \, \text{ft}
\]

#### Final Answer:
\[
\boxed{84 \, \text{ft}^2, 38 \, \text{ft}}
\]

---

3) Calculate the Area

#### Given:
- Parallelogram with base \( 19 \, \text{in} \) and height \( 15 \, \text{in} \)

#### Solution:
- Area of a parallelogram: \( \text{Area} = \text{base} \times \text{height} \)
\[
\text{Area} = 19 \times 15 = 285 \, \text{in}^2
\]

#### Final Answer:
\[
\boxed{285 \, \text{in}^2}
\]

---

4) Calculate the missing angle

#### Given:
- Triangle with angles \( 66^\circ \) and \( 58^\circ \)

#### Solution:
- The sum of the interior angles of a triangle is always \( 180^\circ \).
\[
\text{Missing angle} = 180^\circ - (66^\circ + 58^\circ)
\]
\[
\text{Missing angle} = 180^\circ - 124^\circ = 56^\circ
\]

#### Final Answer:
\[
\boxed{56^\circ}
\]

---

5) Calculate the Area

#### Given:
- Triangle with base \( 16 \, \text{ft} \) and height \( 11 \, \text{ft} \)

#### Solution:
- Area of a triangle: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \)
\[
\text{Area} = \frac{1}{2} \times 16 \times 11 = 8 \times 11 = 88 \, \text{ft}^2
\]

#### Final Answer:
\[
\boxed{88 \, \text{ft}^2}
\]

---

6) Calculate the Area

#### Given:
- Trapezoid with bases \( 18 \, \text{in} \) and \( 40 \, \text{in} \), and height \( 11 \, \text{in} \)

#### Solution:
- Area of a trapezoid: \( \text{Area} = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height} \)
\[
\text{Area} = \frac{1}{2} \times (18 + 40) \times 11
\]
\[
\text{Area} = \frac{1}{2} \times 58 \times 11 = 29 \times 11 = 319 \, \text{in}^2
\]

#### Final Answer:
\[
\boxed{319 \, \text{in}^2}
\]

---

7) What is the area of a square whose side is equal to 7 yds?

#### Given:
- Side length of the square: \( 7 \, \text{yds} \)

#### Solution:
- Area of a square: \( \text{Area} = \text{side}^2 \)
\[
\text{Area} = 7^2 = 49 \, \text{yd}^2
\]

#### Final Answer:
\[
\boxed{49 \, \text{yd}^2}
\]

---

8) What is the perimeter of a rectangle with a length of 10.2 m and width of 12.8 m?

#### Given:
- Length: \( 10.2 \, \text{m} \)
- Width: \( 12.8 \, \text{m} \)

#### Solution:
- Perimeter of a rectangle: \( \text{Perimeter} = 2 \times (\text{length} + \text{width}) \)
\[
\text{Perimeter} = 2 \times (10.2 + 12.8) = 2 \times 23 = 46 \, \text{m}
\]

#### Final Answer:
\[
\boxed{46 \, \text{m}}
\]

---

9) What is the area of a parallelogram with a height of 13 in and base of 16 in?

#### Given:
- Base: \( 16 \, \text{in} \)
- Height: \( 13 \, \text{in} \)

#### Solution:
- Area of a parallelogram: \( \text{Area} = \text{base} \times \text{height} \)
\[
\text{Area} = 16 \times 13 = 208 \, \text{in}^2
\]

#### Final Answer:
\[
\boxed{208 \, \text{in}^2}
\]

---

10) What is the area of a triangle with a base of 18 ft and height of 13 ft?

#### Given:
- Base: \( 18 \, \text{ft} \)
- Height: \( 13 \, \text{ft} \)

#### Solution:
- Area of a triangle: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \)
\[
\text{Area} = \frac{1}{2} \times 18 \times 13 = 9 \times 13 = 117 \, \text{ft}^2
\]

#### Final Answer:
\[
\boxed{117 \, \text{ft}^2}
\]

---

Final Answers Summary:

1. \( \boxed{25 \, \text{m}^2, 20 \, \text{m}} \)
2. \( \boxed{84 \, \text{ft}^2, 38 \, \text{ft}} \)
3. \( \boxed{285 \, \text{in}^2} \)
4. \( \boxed{56^\circ} \)
5. \( \boxed{88 \, \text{ft}^2} \)
6. \( \boxed{319 \, \text{in}^2} \)
7. \( \boxed{49 \, \text{yd}^2} \)
8. \( \boxed{46 \, \text{m}} \)
9. \( \boxed{208 \, \text{in}^2} \)
10. \( \boxed{117 \, \text{ft}^2} \)