Area & Perimeter word problems for Grade 4 - Free Printable

Let's solve each problem step by step.

---

Problem 1:

A rectangle's perimeter is 34 meters. The rectangle is 15 meters long. What is its width?

#### Solution:
The formula for the perimeter of a rectangle is:
\[
P = 2 \times (\text{length} + \text{width})
\]
Given:
- Perimeter \( P = 34 \) meters
- Length = 15 meters

Substitute the known values into the formula:
\[
34 = 2 \times (15 + \text{width})
\]

Divide both sides by 2:
\[
17 = 15 + \text{width}
\]

Subtract 15 from both sides:
\[
\text{width} = 2 \text{ meters}
\]

Answer:
\[
\boxed{2}
\]

---

Problem 2:

The park is 50 meters long and 15 meters wide. Find its perimeter.

#### Solution:
The formula for the perimeter of a rectangle is:
\[
P = 2 \times (\text{length} + \text{width})
\]
Given:
- Length = 50 meters
- Width = 15 meters

Substitute the known values into the formula:
\[
P = 2 \times (50 + 15)
\]

Simplify inside the parentheses:
\[
P = 2 \times 65
\]

Multiply:
\[
P = 130 \text{ meters}
\]

Answer:
\[
\boxed{130}
\]

---

Problem 3:

A rectangular piece of cake is 15 centimeters long and 6 centimeters wide. What is its perimeter?

#### Solution:
The formula for the perimeter of a rectangle is:
\[
P = 2 \times (\text{length} + \text{width})
\]
Given:
- Length = 15 cm
- Width = 6 cm

Substitute the known values into the formula:
\[
P = 2 \times (15 + 6)
\]

Simplify inside the parentheses:
\[
P = 2 \times 21
\]

Multiply:
\[
P = 42 \text{ cm}
\]

Answer:
\[
\boxed{42}
\]

---

Problem 4:

A mobile phone is 5 cm wide and 10 cm long. What is its perimeter?

#### Solution:
The formula for the perimeter of a rectangle is:
\[
P = 2 \times (\text{length} + \text{width})
\]
Given:
- Length = 10 cm
- Width = 5 cm

Substitute the known values into the formula:
\[
P = 2 \times (10 + 5)
\]

Simplify inside the parentheses:
\[
P = 2 \times 15
\]

Multiply:
\[
P = 30 \text{ cm}
\]

Answer:
\[
\boxed{30}
\]

---

Problem 5:

A square has sides that are 6 feet long. What is the area of the square?

#### Solution:
The formula for the area of a square is:
\[
A = \text{side}^2
\]
Given:
- Side = 6 feet

Substitute the known value into the formula:
\[
A = 6^2
\]

Calculate:
\[
A = 36 \text{ square feet}
\]

Answer:
\[
\boxed{36}
\]

---

Problem 6:

A rectangular table is 18 centimeters long and 4 centimeters wide. What is its perimeter?

#### Solution:
The formula for the perimeter of a rectangle is:
\[
P = 2 \times (\text{length} + \text{width})
\]
Given:
- Length = 18 cm
- Width = 4 cm

Substitute the known values into the formula:
\[
P = 2 \times (18 + 4)
\]

Simplify inside the parentheses:
\[
P = 2 \times 22
\]

Multiply:
\[
P = 44 \text{ cm}
\]

Answer:
\[
\boxed{44}
\]

---

Final Answers:

1. \(\boxed{2}\)
2. \(\boxed{130}\)
3. \(\boxed{42}\)
4. \(\boxed{30}\)
5. \(\boxed{36}\)
6. \(\boxed{44}\)