April No Prep Printables | 3rd Grade Spring Worksheets| Grammar, Reading & Math - Free Printable

Problem Solving: Area & Perimeter Word Problems

The worksheet involves solving problems related to area and perimeter. Here's a step-by-step explanation for each problem, along with the solution.

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#### Problem 1:
Rory is running around the rectangular soccer field one time. If the length of the field is 120 yards and the width is 75 yards, how many yards did Rory run?

- Concept: Perimeter of a rectangle.
- Formula: Perimeter = \(2 \times (\text{length} + \text{width})\).
- Given: Length = 120 yards, Width = 75 yards.
- Calculation:
\[
\text{Perimeter} = 2 \times (120 + 75) = 2 \times 195 = 390 \text{ yards}
\]
- Answer: Rory ran 390 yards.
- Color: Yellow (since we found the perimeter).

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#### Problem 2:
My family is putting up a fence to keep our dogs in the yard. Our yard is 100 feet long and 50 feet wide. How many feet of fence will we need?

- Concept: Perimeter of a rectangle.
- Formula: Perimeter = \(2 \times (\text{length} + \text{width})\).
- Given: Length = 100 feet, Width = 50 feet.
- Calculation:
\[
\text{Perimeter} = 2 \times (100 + 50) = 2 \times 150 = 300 \text{ feet}
\]
- Answer: You will need 300 feet of fence.
- Color: Yellow (since we found the perimeter).

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#### Problem 3:
Miniki is installing new carpet in her living room. Her living room is 11 ft. long and 9 ft. wide. How much carpeting will she need to cover the floor?

- Concept: Area of a rectangle.
- Formula: Area = \(\text{length} \times \text{width}\).
- Given: Length = 11 ft, Width = 9 ft.
- Calculation:
\[
\text{Area} = 11 \times 9 = 99 \text{ square feet}
\]
- Answer: Miniki will need 99 square feet of carpeting.
- Color: Pink (since we found the area).

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#### Problem 4:
Ms. Brooks is putting a border around her bulletin board. It is 8 feet long and 5 feet wide. How much border will she need?

- Concept: Perimeter of a rectangle.
- Formula: Perimeter = \(2 \times (\text{length} + \text{width})\).
- Given: Length = 8 feet, Width = 5 feet.
- Calculation:
\[
\text{Perimeter} = 2 \times (8 + 5) = 2 \times 13 = 26 \text{ feet}
\]
- Answer: Ms. Brooks will need 26 feet of border.
- Color: Yellow (since we found the perimeter).

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#### Problem 5:
I want to tile my bathroom floor. My bathroom is 7 ft. long and 8 ft. wide. How much tile should I buy?

- Concept: Area of a rectangle.
- Formula: Area = \(\text{length} \times \text{width}\).
- Given: Length = 7 ft, Width = 8 ft.
- Calculation:
\[
\text{Area} = 7 \times 8 = 56 \text{ square feet}
\]
- Answer: You should buy 56 square feet of tile.
- Color: Pink (since we found the area).

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#### Problem 6:
The class is making a square banner and adding glitter strips around the border. Their banner will be 6 ft. long on each side. How many feet of glitter strips will they add to the banner?

- Concept: Perimeter of a square.
- Formula: Perimeter = \(4 \times \text{side length}\).
- Given: Side length = 6 feet.
- Calculation:
\[
\text{Perimeter} = 4 \times 6 = 24 \text{ feet}
\]
- Answer: They will need 24 feet of glitter strips.
- Color: Yellow (since we found the perimeter).

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#### Problem 7:
Samuel wants to paint his bedroom wall. His wall is 10 ft. by 12 ft. How many square feet of paint will he need to cover his wall?

- Concept: Area of a rectangle.
- Formula: Area = \(\text{length} \times \text{width}\).
- Given: Length = 10 ft, Width = 12 ft.
- Calculation:
\[
\text{Area} = 10 \times 12 = 120 \text{ square feet}
\]
- Answer: Samuel will need 120 square feet of paint.
- Color: Pink (since we found the area).

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#### Problem 8:
Harper wants to put lights around her bedroom window. Her window is 24 inches wide and 72 inches tall. How many inches of lights will she need?

- Concept: Perimeter of a rectangle.
- Formula: Perimeter = \(2 \times (\text{length} + \text{width})\).
- Given: Length = 72 inches, Width = 24 inches.
- Calculation:
\[
\text{Perimeter} = 2 \times (72 + 24) = 2 \times 96 = 192 \text{ inches}
\]
- Answer: Harper will need 192 inches of lights.
- Color: Yellow (since we found the perimeter).

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Final Answers:

1. 390 yards (Yellow)
2. 300 feet (Yellow)
3. 99 square feet (Pink)
4. 26 feet (Yellow)
5. 56 square feet (Pink)
6. 24 feet (Yellow)
7. 120 square feet (Pink)
8. 192 inches (Yellow)

Final Boxed Answers:

\[
\boxed{
\begin{array}{ll}
1. & 390 \text{ yards} \\
2. & 300 \text{ feet} \\
3. & 99 \text{ square feet} \\
4. & 26 \text{ feet} \\
5. & 56 \text{ square feet} \\
6. & 24 \text{ feet} \\
7. & 120 \text{ square feet} \\
8. & 192 \text{ inches} \\
\end{array}
}
\]