Word Problems Using Area Worksheet / Worksheet - Twinkl - Free Printable

Let's solve each of the area word problems step by step.

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Problem 1:

Each table in a classroom is 100cm long and 50cm wide. What is the area of each table? There are 16 tables in a classroom. What is the total area of the tables in the classroom in square meters?

#### Step 1: Find the area of one table
- Length = 100 cm
- Width = 50 cm
- Area = length × width = 100 cm × 50 cm = 5000 cm²

But we need the answer in square meters, so convert cm² to m².

We know:
- 1 meter = 100 cm → 1 m² = 10,000 cm²

So:
- 5000 cm² = 5000 ÷ 10,000 = 0.5 m²

✔ Area of one table = 0.5 m²

#### Step 2: Total area for 16 tables
- 16 × 0.5 m² = 8 m²

✔ Total area = 8 square meters

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Problem 2:

An artificial soccer pitch is 90 meters long and 40 meters wide. What is the area of the pitch? If the cost of the pitch is $30 per square meter, what is the cost of installing the pitch?

#### Step 1: Area of the pitch
- Length = 90 m
- Width = 40 m
- Area = 90 × 40 = 3600 m²

#### Step 2: Cost of installation
- Cost per m² = $30
- Total cost = 3600 × 30 = $108,000

✔ Area = 3600 m², Cost = $108,000

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Problem 3:

A bedroom wall is 3m long and 2m high. What is the total area of the wall? A can of paint will cover 10m². How many cans are needed if each wall needs 2 coats of paint?

#### Step 1: Area of the wall
- Length = 3 m
- Height = 2 m
- Area = 3 × 2 = 6 m²

#### Step 2: Paint required
- Each wall needs 2 coats, so total paint area needed = 6 m² × 2 = 12 m²

#### Step 3: Number of cans
- One can covers 10 m²
- Cans needed = 12 ÷ 10 = 1.2

But you can't buy 0.2 of a can — you must round up to ensure full coverage.

✔ So, 2 cans are needed.

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Problem 4:

A window is 150cm wide and 90cm high. What is the area of the window in square meters? Three times the area of the window is needed for curtain material. What area is needed?

#### Step 1: Area of the window
- Width = 150 cm = 1.5 m
- Height = 90 cm = 0.9 m
- Area = 1.5 × 0.9 = 1.35 m²

#### Step 2: Curtain material needed
- 3 times the area = 3 × 1.35 = 4.05 m²

✔ Window area = 1.35 m², Curtain material needed = 4.05 m²

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✔ Final Answers:

1. Area of each table: 0.5 m²
Total area of 16 tables: 8 m²

2. Area of pitch: 3600 m²
Cost of installation: $108,000

3. Wall area: 6 m²
Cans of paint needed (for 2 coats): 2 cans

4. Window area: 1.35 m²
Curtain material needed: 4.05 m²

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